3 years ago

Please help help help help

Mathematics

2 answers:

amid [387]3 years ago

7 0

Answer:

option b is the correct i mean 10

Inga [223]3 years ago

3 0

Hopes this helps:

Answer: B. 10

Have a great day. Please mark as brainlist if it’s right.

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Una función racional corresponde a una función algebraica o trascendente

Andreyy89

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Step-by-step explanation:

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3 years ago

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 $x=c$ :

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

So the value of this limit is exactly the value of the derivative of $f(x)=e^{\sin x}$ at $x=\pi$ .

You have

$f'(x)=\cos x\,e^{\sin x}\implies f'(\pi)=\cos\pi\,e^{\sin\pi}=-1$