Calculus Examples

$lim_{x \to 8} \frac{4 + 100000 \cdot \sin (100000)}{2 \cdot 100000 - 3}$

Step 1

Evaluate the limit of $\frac{4 + 100000 \cdot \sin (100000)}{2 \cdot 100000 - 3}$ which is constant as $x$ approaches $8$ .

$\frac{4 + 100000 \cdot \sin (100000)}{2 \cdot 100000 - 3}$

Step 2

Simplify the answer.

Tap for more steps...

Step 2.1

Simplify the numerator.

Tap for more steps...

Step 2.1.1

Remove full rotations of $360$ ° until the angle is between $0$ ° and $360$ °.

$\frac{4 + 100000 \cdot \sin (280)}{2 \cdot 100000 - 3}$

Step 2.1.2

Evaluate $\sin (280)$ .

$\frac{4 + 100000 \cdot - 0.98480775}{2 \cdot 100000 - 3}$

Step 2.1.3

Multiply $100000$ by $- 0.98480775$ .

$\frac{4 - 98480.77530122}{2 \cdot 100000 - 3}$

Step 2.1.4

Subtract $98480.77530122$ from $4$ .

$\frac{- 98476.77530122}{2 \cdot 100000 - 3}$

Step 2.2

Simplify the denominator.

Tap for more steps...

Step 2.2.1

Multiply $2$ by $100000$ .

$\frac{- 98476.77530122}{200000 - 3}$

Step 2.2.2

Subtract $3$ from $200000$ .

$\frac{- 98476.77530122}{199997}$

Step 2.3

Divide $- 98476.77530122$ by $199997$ .

$- 0.49239126$