3 years ago

How to slove this one?

Mathematics

1 answer:

disa [49]3 years ago

3 0

Answer:

turning it I think.........

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The original cost of a cell phone is x dollars. The phone is on sale for 35% off. What would be the simplified expression for th

Nonamiya [84]

X · 0.65 = y or x-(x · 0.35)= y y=sales cost

5 0

3 years ago

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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 $x=c$ :

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

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

You have

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