Question

Given $\lim_{x \to 8} f(x) = 3$ and $\lim_{x \to 8} g(x) = 6$, use limit laws to evaluate $\lim_{x \to 8} \frac{f(x) + g(x)}{8f(x)}$ (If the limit does not exist, enter DNE) Limit =

          Given $\lim_{x \to 8} f(x) = 3$ and $\lim_{x \to 8} g(x) = 6$, use limit laws to evaluate
$\lim_{x \to 8} \frac{f(x) + g(x)}{8f(x)}$
(If the limit does not exist, enter DNE)
Limit =
        
Given limx → 8 f(x) = 3 and limx → 8 g(x) = 6, use limit laws to evaluate
limx → 8(f(x) + g(x))/(8f(x))
(If the limit does not exist, enter DNE)
Limit =

Added by Eduardo M.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Given lim_(x->8)f(x)=3 and lim_(x->8)g(x)=6, use limit laws to evaluate lim_(x->8)(f(x)+g(x))/(8f(x)) (If the limit does not exist, enter DNE) Limit = Given lim f()=3 and lim g()=6, use limit laws to evaluate 8 fx+gx lim 84 8f (If the limit does not exist,enter DNE) Limit
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Transcript

-
00:01 Here, we're given the limit as x approaches 0 of, we have the ln of 1 minus x over 8 e to the x minus 8.
00:12 And we want to use lopatals rule to evaluate this.
00:15 So first off, let's find out, is it indeterminate? so if i plug in 0, i have the ln of 1, which is 0, divided by 8 minus 8, which is 0.
00:23 So i have 0 divided by 0.
00:25 Tells me, i can use lopatals rule...
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