Calculus Examples

$lim_{x \to 8} 2 \sin (x)$

Evaluate the limit.

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Move the term $2$ outside of the limit because it is constant with respect to $x$ .

$2 lim_{x \to 8} \sin (x)$

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

$2 \sin (lim_{x \to 8} x)$

Evaluate the limit of $x$ by plugging in $8$ for $x$ .

$2 \sin (8)$

Simplify the answer.

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Evaluate $\sin (8)$ .

$2 \cdot 0.1391731$

Multiply $2$ by $0.1391731$ .

$0.2783462$