Calculus Examples

$lim_{x \to 25} t + 5 (t^{- \frac{1}{2}})$

Step 1

Evaluate the limit of $t + 5 (t^{- \frac{1}{2}})$ which is constant as $x$ approaches $25$ .

$t + 5 (t^{- \frac{1}{2}})$

Step 2

Simplify each term.

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Step 2.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$t + 5 \frac{1}{t^{\frac{1}{2}}}$

Step 2.2

Combine $5$ and $\frac{1}{t^{\frac{1}{2}}}$ .

$t + \frac{5}{t^{\frac{1}{2}}}$