Calculus Examples

$lim_{x \to 8} \arcsin (\frac{x}{1 - 2 x})$

Step 1

Evaluate the limit of $\arcsin (\frac{x}{1 - 2 x})$ by plugging in $8$ for $x$ .

$\arcsin (\frac{8}{1 - 2 \cdot 8})$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $- 2$ by $8$ .

$\arcsin (\frac{8}{1 - 16})$

Step 2.2

Subtract $16$ from $1$ .

$\arcsin (\frac{8}{- 15})$

Step 3

Move the negative in front of the fraction.

$\arcsin (- \frac{8}{15})$

Step 4

Evaluate $\arcsin (- \frac{8}{15})$ .

$- 0.56253624$