Calculus Examples

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

Step 1

Evaluate the limit.

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Step 1.1

Move the limit inside the trig function because sine is continuous.

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

Step 1.2

Move the term $\frac{1}{4.75}$ outside of the limit because it is constant with respect to $x$ .

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

Step 2

Evaluate the limit of $x$ by plugging in $4.75$ for $x$ .

$\sin (\frac{1}{4.75} \cdot 4.75)$

Step 3

Simplify the answer.

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Step 3.1

Cancel the common factor of $4.75$ .

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Step 3.1.1

Cancel the common factor.

$\sin (\frac{1}{4.75} \cdot 4.75)$

Step 3.1.2

Rewrite the expression.

$\sin (1)$

Step 3.2

Evaluate $\sin (1)$ .

$0.84147098$