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f(x)=(sin(x)-sin(e))/(x-e)−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

lim⁡x→e(sin⁡(x)−sin⁡(e)x−e)\lim_{x\to e}\left(\frac{\sin\left(x\right)-\sin\left(e\right)}{x-e}\right)

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Final answer to the exercise

∞\infty

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Main Topic: Limits by Direct Substitution

Find limits of functions at a specific point by directly plugging the value into the function.

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limx→e(sin(x)−sin(e)x−e )
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