Calculus Examples

$lim_{x \to 4.75} \sin^{-1} (\frac{x}{4.75})$

Step 1

Change the two-sided limit into a left sided limit.

$lim_{x \to {4.75}^{-}} \sin^{-1} (\frac{x}{4.75})$

Step 2

Evaluate the limits by plugging in $4.75$ for all occurrences of $x$ .

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Step 2.1

Evaluate the limit of $\sin^{-1} (\frac{x}{4.75})$ by plugging in $4.75$ for $x$ .

$\sin^{-1} (\frac{4.75}{4.75})$

Step 2.2

Divide $4.75$ by $4.75$ .

$\sin^{-1} (1)$

Step 2.3

The exact value of $\sin^{-1} (1)$ is $\frac{π}{2}$ .

$\frac{π}{2}$