Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15901	Evaluate the Limit	limit as x approaches 8 of 5-3x-8x^3	$lim_{x \to 8} 5 - 3 x - 8 x^{3}$
15902	Evaluate the Limit	limit as x approaches 8 of square root of (3x+2)/(6x-8)	$lim_{x \to 8} \sqrt{\frac{3 x + 2}{6 x - 8}}$
15903	Evaluate the Limit	limit as x approaches 8 of ( square root of 9+2x-5)/( cube root of x-2)	$lim_{x \to 8} \frac{\sqrt{9 + 2 x} - 5}{\sqrt[3]{x} - 2}$
15904	Evaluate the Limit	limit as x approaches 8 of ((x+1)/(x-1))^x	$lim_{x \to 8} {(\frac{x + 1}{x - 1})}^{x}$
15905	Evaluate the Limit	limit as x approaches 8 of ( square root of 4x^2-7)/(3x-1)	$lim_{x \to 8} \frac{\sqrt{4 x^{2} - 7}}{3 x - 1}$
15906	Evaluate the Limit	limit as x approaches 8 of (2x+3)/(5x+1)	$lim_{x \to 8} \frac{2 x + 3}{5 x + 1}$
15907	Evaluate the Limit	limit as x approaches 8 of square root of x+ square root of x- square root of x	$lim_{x \to 8} \sqrt{x + \sqrt{x}} - \sqrt{x}$
15908	Evaluate the Summation	sum from n=1 to 6 of 3n+7	$\sum_{n = 1}^{6} 3 n + 7$
15909	Evaluate the Summation	sum from n=1 to 7 of 3-2n	$\sum_{n = 1}^{7} 3 - 2 n$
15910	Evaluate the Summation	sum from n=1 to 8 of (1/9)^n	$\sum_{n = 1}^{8} {(\frac{1}{9})}^{n}$
15911	Evaluate the Summation	sum from N=1 to 8 of 7-N	$\sum_{N = 1}^{8} 7 - N$
15912	Evaluate the Summation	sum from n=4 to 10 of 4n	$\sum_{n = 4}^{10} 4 n$
15913	Evaluate the Summation	sum from n=51 to 100 of 8n	$\sum_{n = 51}^{100} 8 n$
15914	Evaluate the Summation	sum from n=1 to 8 of 1/(3^n)	$\sum_{n = 1}^{8} \frac{1}{3^{n}}$
15915	Evaluate the Summation	sum from n=2 to 10 of 4n+1	$\sum_{n = 2}^{10} 4 n + 1$
15916	Evaluate the Summation	sum from n=12 to 54 of 4n+3	$\sum_{n = 12}^{54} 4 n + 3$
15917	Evaluate the Summation	sum from x=0 to 15 of 2(4/3)^x	$\sum_{x = 0}^{15} 2 {(\frac{4}{3})}^{x}$
15918	Evaluate the Summation	sum from x=1 to 5 of (1/3)^k	$\sum_{x = 1}^{5} {(\frac{1}{3})}^{k}$
15919	Evaluate the Summation	sum from x=1 to 5 of x(x+1)	$\sum_{x = 1}^{5} x (x + 1)$
15920	Evaluate the Summation	sum from x=1 to 6 of 4x	$\sum_{x = 1}^{6} 4 x$
15921	Evaluate the Summation	sum from x=1 to 7 of x	$\sum_{x = 1}^{7} x$
15922	Evaluate the Summation	sum from x=1 to 8 of (-0.75)^(x-1)	$\sum_{x = 1}^{8} {(- 0.75)}^{x - 1}$
15923	Evaluate the Summation	sum from x=1 to 8 of (1/5)^(x-1)	$\sum_{x = 1}^{8} {(\frac{1}{5})}^{x - 1}$
15924	Evaluate the Summation	sum from x=1 to 90 of 8-1/3x	$\sum_{x = 1}^{90} 8 - \frac{1}{3} x$
15925	Evaluate the Summation	sum from 1 to 6 of (-1)^k*4^k	$\sum_{1}^{6} {(- 1)}^{k} \cdot 4^{k}$
15926	Evaluate the Summation	sum from 1 to 7 of 4n-1	$\sum_{1}^{7} 4 n - 1$
15927	Evaluate the Summation	sum from 5 to 50 of 2n+5	$\sum_{5}^{50} 2 n + 5$
15928	Evaluate the Summation	4+ sum from k=2 to 5 of 3(k-x)	$4 + \sum_{k = 2}^{5} 3 (k - x)$
15929	Evaluate the Summation	sum from 1 to 14 of 3n+2	$\sum_{1}^{14} 3 n + 2$
15930	Evaluate the Summation	20 sum from x=0 to 3 of \|sin(2.8pix)*sin(3.48pix)\|	$20 \sum_{x = 0}^{3} \| \sin (2.8 π x) \cdot \sin (3.48 π x) \|$
15931	Evaluate the Summation	4 sum from i=4 to 7 of -8i+7i^2	$4 \sum_{i = 4}^{7} - 8 i + 7 i^{2}$
15932	Evaluate the Summation	-130000+ sum from 1 to 30 of 12727.24	$- 130000 + \sum_{1}^{30} 12727.24$
15933	Evaluate the Summation	sum from x=4 to 8 of 5x^2+5x-5 sum from x=4 to 8 of x^2	$\sum_{x = 4}^{8} 5 x^{2} + 5 x - 5 \sum_{x = 4}^{8} x^{2}$
15934	Evaluate the Summation	sum from i=1 to 8 of 12*0.25	$\sum_{i = 1}^{8} 12 \cdot 0.25$
15935	Evaluate the Summation	sum from i=24 to 83 of 6+3i	$\sum_{i = 24}^{83} 6 + 3 i$
15936	Evaluate the Summation	sum from i=4 to 12 of 10	$\sum_{i = 4}^{12} 10$
15937	Evaluate the Summation	sum from j=0 to 4 of (2^j)/(2^j+1)	$\sum_{j = 0}^{4} \frac{2^{j}}{2^{j} + 1}$
15938	Evaluate the Summation	sum from i=1 to 30 of -84+8i	$\sum_{i = 1}^{30} - 84 + 8 i$
15939	Evaluate the Summation	sum from i=1 to 4 of 1/(7i)	$\sum_{i = 1}^{4} \frac{1}{7 i}$
15940	Solve for x	1=(12x^2)/(x^4+36)	$1 = \frac{12 x^{2}}{x^{4} + 36}$
15941	Evaluate the Summation	sum from i=1 to 5 of i+9	$\sum_{i = 1}^{5} i + 9$
15942	Evaluate the Summation	sum from n=1 to 12 of 4*0.6^(n-1)	$\sum_{n = 1}^{12} 4 \cdot {0.6}^{n - 1}$
15943	Evaluate the Summation	sum from k=1 to 33 of 2+(k-1)*8	$\sum_{k = 1}^{33} 2 + (k - 1) \cdot 8$
15944	Evaluate the Summation	sum from k=1 to 5 of 3k-2	$\sum_{k = 1}^{5} 3 k - 2$
15945	Evaluate the Summation	sum from k=1 to 8 of 1/3+(1/3)^(k-1)	$\sum_{k = 1}^{8} \frac{1}{3} + {(\frac{1}{3})}^{k - 1}$
15946	Evaluate the Summation	sum from k=1 to infinity of 7/(8^k)	$\sum_{k = 1}^{\infty} \frac{7}{8^{k}}$
15947	Evaluate the Summation	sum from k=1 to infinity of 3(2/3)^(k-1)	$\sum_{k = 1}^{\infty} 3 {(\frac{2}{3})}^{k - 1}$
15948	Evaluate the Summation	sum from k=1 to 5 of 5k	$\sum_{k = 1}^{5} 5 k$
15949	Evaluate the Summation	sum from k=1 to 4 of 72(1/3)^k	$\sum_{k = 1}^{4} 72 {(\frac{1}{3})}^{k}$
15950	Evaluate the Summation	sum from k=1 to 26 of 3k-7	$\sum_{k = 1}^{26} 3 k - 7$
15951	Evaluate the Summation	sum from k=1 to 4 of 2k-1	$\sum_{k = 1}^{4} 2 k - 1$
15952	Evaluate the Summation	sum from k=1 to 200 of (2k-3)^2	$\sum_{k = 1}^{200} {(2 k - 3)}^{2}$
15953	Evaluate the Summation	sum from k=1 to 24 of k^2-7k+2	$\sum_{k = 1}^{24} k^{2} - 7 k + 2$
15954	Evaluate the Summation	sum from k=1 to 5 of 162+(1/3)^k	$\sum_{k = 1}^{5} 162 + {(\frac{1}{3})}^{k}$
15955	Evaluate the Summation	sum from k=1 to 5 of ((-1)^(k-1))/k	$\sum_{k = 1}^{5} \frac{{(- 1)}^{k - 1}}{k}$
15956	Evaluate the Summation	sum from k=1 to 5 of (-1)^k*2^k	$\sum_{k = 1}^{5} {(- 1)}^{k} \cdot 2^{k}$
15957	Evaluate the Summation	sum from k=1 to 52 of 3k-7	$\sum_{k = 1}^{52} 3 k - 7$
15958	Evaluate the Summation	sum from k=1 to 5 of 4	$\sum_{k = 1}^{5} 4$
15959	Evaluate the Summation	sum from k=7 to 9 of 24-13k	$\sum_{k = 7}^{9} 24 - 13 k$
15960	Evaluate the Summation	sum from k=1 to 8 of (3/5)^(k-1)	$\sum_{k = 1}^{8} {(\frac{3}{5})}^{k - 1}$
15961	Evaluate the Summation	sum from k=1 to 8 of 1+(-1)^k	$\sum_{k = 1}^{8} 1 + {(- 1)}^{k}$
15962	Evaluate the Summation	sum from k=1 to 7 of (-1)^k(11k)	$\sum_{k = 1}^{7} {(- 1)}^{k} (11 k)$
15963	Evaluate the Summation	sum from k=1 to 6 of 5(9/4)^(k-1)	$\sum_{k = 1}^{6} 5 {(\frac{9}{4})}^{k - 1}$
15964	Evaluate the Summation	sum from k=1 to 6 of k/(k+1)	$\sum_{k = 1}^{6} \frac{k}{k + 1}$
15965	Evaluate the Summation	sum from k=1 to 6 of 3k^2	$\sum_{k = 1}^{6} 3 k^{2}$
15966	Evaluate the Summation	sum from k=0 to 12 of 4(2^(k-1))	$\sum_{k = 0}^{12} 4 (2^{k - 1})$
15967	Evaluate the Summation	sum from k=0 to 12 of -3k+2	$\sum_{k = 0}^{12} - 3 k + 2$
15968	Evaluate the Summation	sum from k=0 to 2 of x^k	$\sum_{k = 0}^{2} x^{k}$
15969	Evaluate the Summation	sum from j=1 to 6 of 2j^3	$\sum_{j = 1}^{6} 2 j^{3}$
15970	Evaluate the Summation	sum from j=1 to 6 of 5+3n	$\sum_{j = 1}^{6} 5 + 3 n$
15971	Evaluate the Summation	sum from j=1 to 6 of (-1)^(j+1)j	$\sum_{j = 1}^{6} {(- 1)}^{j + 1} j$
15972	Evaluate the Summation	sum from k=0 to 18 of 2+0.21k	$\sum_{k = 0}^{18} 2 + 0.21 k$
15973	Evaluate the Summation	sum from k=0 to 6 of 2k-1	$\sum_{k = 0}^{6} 2 k - 1$
15974	Evaluate the Summation	sum from k=1 to 16 of 555-11k	$\sum_{k = 1}^{16} 555 - 11 k$
15975	Evaluate the Summation	sum from k=1 to 17 of 5k+5	$\sum_{k = 1}^{17} 5 k + 5$
15976	Evaluate the Summation	sum from k=1 to 10 of 1+(-1)^k	$\sum_{k = 1}^{10} 1 + {(- 1)}^{k}$
15977	Evaluate the Summation	sum from k=1 to 10 of -5k+3	$\sum_{k = 1}^{10} - 5 k + 3$
15978	Evaluate the Summation	sum from k=1 to 100 of 5-3k	$\sum_{k = 1}^{100} 5 - 3 k$
15979	Evaluate the Summation	sum from k=1 to 100 of 5	$\sum_{k = 1}^{100} 5$
15980	Evaluate the Summation	sum from k=1 to 100 of 9+(1/2)^(k-1)	$\sum_{k = 1}^{100} 9 + {(\frac{1}{2})}^{k - 1}$
15981	Evaluate the Summation	sum from k=1 to 1000 of 1/2	$\sum_{k = 1}^{1000} \frac{1}{2}$
15982	Evaluate the Summation	sum from k=1 to 11 of 1-3k	$\sum_{k = 1}^{11} 1 - 3 k$
15983	Evaluate the Summation	sum from k=1 to 11 of 1/4+(-3)^(k-1)	$\sum_{k = 1}^{11} \frac{1}{4} + {(- 3)}^{k - 1}$
15984	Evaluate the Summation	sum from i=5 to 11 of 3	$\sum_{i = 5}^{11} 3$
15985	Evaluate the Summation	sum from i=512 to 6 of i*1/4	$\sum_{i = 512}^{6} i \cdot \frac{1}{4}$
15986	Evaluate the Summation	sum from j=1 to 200 of j	$\sum_{j = 1}^{200} j$
15987	Evaluate the Summation	sum from j=1 to 4 of (-1)^jj	$\sum_{j = 1}^{4} {(- 1)}^{j} j$
15988	Evaluate the Summation	sum from j=1 to 15 of 6j-4	$\sum_{j = 1}^{15} 6 j - 4$
15989	Evaluate the Summation	sum from j=1 to 5 of j^2	$\sum_{j = 1}^{5} j^{2}$
15990	Evaluate the Summation	sum from j=1 to 8 of 7j-5	$\sum_{j = 1}^{8} 7 j - 5$
15991	Evaluate the Summation	sum from j=3 to 6 of 2j-1	$\sum_{j = 3}^{6} 2 j - 1$
15992	Evaluate the Summation	sum from n=1 to 108 of (-1)^n	$\sum_{n = 1}^{108} {(- 1)}^{n}$
15993	Evaluate the Summation	sum from n=1 to 100 of 2n	$\sum_{n = 1}^{100} 2 n$
15994	Evaluate the Summation	sum from n=1 to 120 of 4-1/3n	$\sum_{n = 1}^{120} 4 - \frac{1}{3} n$
15995	Evaluate the Summation	sum from n=1 to 15 of 6(0.25)^(n-1)	$\sum_{n = 1}^{15} 6 {(0.25)}^{n - 1}$
15996	Evaluate the Summation	sum from n=1 to 15 of (6/13)^n	$\sum_{n = 1}^{15} {(\frac{6}{13})}^{n}$
15997	Evaluate the Summation	sum from n=0 to 23 of 2+1/2n	$\sum_{n = 0}^{23} 2 + \frac{1}{2} n$
15998	Evaluate the Summation	sum from n=0 to 50 of 5(3/5)^n	$\sum_{n = 0}^{50} 5 {(\frac{3}{5})}^{n}$
15999	Evaluate the Summation	sum from n=0 to 50 of 50-n	$\sum_{n = 0}^{50} 50 - n$
16000	Evaluate the Summation	sum from n=0 to 3 of 3-n	$\sum_{n = 0}^{3} 3 - n$