3 years ago

Y-x-3=0 rewrite as a linear equation

Mathematics

1 answer:

Delvig [45]3 years ago

4 0

Solving to y gives you:y=x+3

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ch4aika [34]

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

aleksandr82 [10.1K]

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

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

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You have

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