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Mathematics

1 answer:

MArishka [77]4 years ago

6 0

Answer:

12 - (-6)

Step-by-step explanation:

11 - (-5) = 11 + 5 = 16

-7 + (-3) = -7 - 3 = -10

12 - (-6) = 12 + 6 = 18

-9 + -9 = -9 - 9 = -18

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Limit question: lim x-->pi ((e^sinx)-1)/(x-pi)

aleksandr82 [10.1K]

$\displaystyle\lim_{x\to\pi}\dfrac{e^{\sin x}-1}{x-\pi}$

Notice that if $f(x)=e^{\sin x}$ , then $f(\pi)=e^{\sin\pi}=e^0=1$ . Recall the definition of the derivative of a function $f(x)$ at a point $x=c$ :

$f'(c):=\displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}$

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