Calculus Examples

$\frac{lim_{x \to 1} \arctan (x)}{\arcsin (x) + 1}$

Step 1

Evaluate the limits by plugging in $1$ for all occurrences of $x$ .

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Step 1.1

Evaluate the limit of $\arctan (x)$ by plugging in $1$ for $x$ .

$\frac{\arctan (1)}{\arcsin (x) + 1}$

Step 1.2

The exact value of $\arctan (1)$ is $\frac{π}{4}$ .

$\frac{\frac{π}{4}}{\arcsin (x) + 1}$

Step 2

Simplify the answer.

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Step 2.1

Multiply the numerator by the reciprocal of the denominator.

$\frac{π}{4} \cdot \frac{1}{\arcsin (x) + 1}$

Step 2.2

Multiply $\frac{π}{4}$ by $\frac{1}{\arcsin (x) + 1}$ .

$\frac{π}{4 (\arcsin (x) + 1)}$