Find the limit of 9(sin(x)+sin(x)) as x approaches pi | SnapXam

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Solving: $\lim_{x\to\pi }\left(9\left(\sin\left(x\right)+\sin\left(x\right)\right)\right)$

Solve instead: $\lim_{x\to\pi}9\sin\left(x+\sin\left(x\right)\right)$

 Exercise

$\lim_{x\to\pi}9\sin\left(x+\sin\left(x\right)\right)$

 Step-by-step Solution

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1

Combining like terms $\sin\left(x\right)$ and $\sin\left(x\right)$

$\lim_{x\to\pi }\left(9\cdot 2\sin\left(x\right)\right)$

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2

Multiply $9$ times $2$

$\lim_{x\to\pi }\left(18\sin\left(x\right)\right)$

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3

Evaluate the limit $\lim_{x\to\pi }\left(18\sin\left(x\right)\right)$ by replacing all occurrences of $x$ by $\pi $

$18\sin\left(\pi \right)$

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4

The sine of $\pi $ equals $0$

$18\cdot 0$

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5

Multiply $18$ times $0$

0

Final answer to the exercise  

0

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