### How to solve this question with limit properties

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11 months ago by

Given  $\lim_{x\to8}f\left(x\right)=-9$limx8ƒ (x)=9 and  $\lim_{x\to8}h\left(x\right)=4$limx8h(x)=4 use the limit properties given in this section to compute the following limits.

$\lim_{x\to8}\left[2f\left(x\right)-12h\left(x\right)\right]$limx8[2ƒ (x)12h(x)]

modified 11 months ago by Shannon   • written 11 months ago by Justin

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11 months ago by

Here is how I did it.

$\lim_{x\to8}\left[2f\left(x\right)-12h\left(x\right)\right]=\lim_{x\to8}\left[2f\left(x\right)\right]-\lim_{x\to8}\left[12h\left(x\right)\right]=x\lim_{x\to8}f\left(x\right)-12\lim_{x\to8}h\left(x\right)=2\left(-9\right)-12\left(4\right)=-66$limx8[2ƒ (x)12h(x)]=limx8[2ƒ (x)]limx8[12h(x)]=xlimx8ƒ (x)12limx8h(x)=2(9)12(4)=66

So the solution is -66

written 11 months ago by Shannon