Calculus Examples

$lim_{x \to 0.01} \frac{x}{\arctan (x)}$

Step 1

Split the limit using the Limits Quotient Rule on the limit as $x$ approaches $0.01$ .

$\frac{lim_{x \to 0.01} x}{lim_{x \to 0.01} \arctan (x)}$

Step 2

Evaluate the limits by plugging in $0.01$ for all occurrences of $x$ .

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Step 2.1

Evaluate the limit of $x$ by plugging in $0.01$ for $x$ .

$\frac{0.01}{lim_{x \to 0.01} \arctan (x)}$

Step 2.2

Evaluate the limit of $\arctan (x)$ by plugging in $0.01$ for $x$ .

$\frac{0.01}{\arctan (0.01)}$

Step 2.3

Evaluate $\arctan (0.01)$ .

$\frac{0.01}{0.00999966}$

Step 3

Divide $0.01$ by $0.00999966$ .

$1.00003333$