Calculus Examples

$lim_{x \to 8} \frac{\arcsin (3 + 2 x)}{\arcsin (5 + 2 x)}$

Step 1

Evaluate the limit of $\frac{\arcsin (3 + 2 x)}{\arcsin (5 + 2 x)}$ by plugging in $8$ for $x$ .

$\frac{\arcsin (3 + 2 \cdot 8)}{\arcsin (5 + 2 \cdot 8)}$

Step 2

Simplify the numerator.

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Step 2.1

Multiply $2$ by $8$ .

$\frac{\arcsin (3 + 16)}{\arcsin (5 + 2 \cdot 8)}$

Step 2.2

Add $3$ and $16$ .

$\frac{\arcsin (19)}{\arcsin (5 + 2 \cdot 8)}$

Step 3

Simplify the denominator.

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Step 3.1

Multiply $2$ by $8$ .

$\frac{\arcsin (19)}{\arcsin (5 + 16)}$

Step 3.2

Add $5$ and $16$ .

$\frac{\arcsin (19)}{\arcsin (21)}$