Calculus Examples

$lim_{x \to 8} \arcsin (\frac{3 x}{5 + 6 x})$

Step 1

Evaluate the limit of $\arcsin (\frac{3 x}{5 + 6 x})$ by plugging in $8$ for $x$ .

$\arcsin (\frac{3 \cdot 8}{5 + 6 \cdot 8})$

Step 2

Multiply $3$ by $8$ .

$\arcsin (\frac{24}{5 + 6 \cdot 8})$

Step 3

Simplify the denominator.

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Step 3.1

Multiply $6$ by $8$ .

$\arcsin (\frac{24}{5 + 48})$

Step 3.2

Add $5$ and $48$ .

$\arcsin (\frac{24}{53})$

Step 4

Evaluate $\arcsin (\frac{24}{53})$ .

$0.46993708$