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What is lim(xto-2)((1+2)/(x^(3)+8))...

What is `lim_(xto-2)((1+2)/(x^(3)+8))`

A

`1//4`

B

`-1//4`

C

`1//2`

D

`-1//12`

Text Solution

Verified by Experts

The correct Answer is:
C
`underset(xto-2)lim((x+2)/(x^(3)+8))=underset(xto-2)lim(x+2)/((x)^(3)+(2)^(3))`
`=underset(xto-2)lim(x+2)/((x+2)(x^(2)-2x+4))`
`=(1)/((-2)^(2)-2(-2)+4)=(1)/(12)`
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  10. What is lim(xto2) (x-2)/(x^(2)-4) equal to?

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  13. Let A={x""inR|xge0|. A function f:AtoA is defined by f(x)=x^(2). Which...

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  14. Consider the following statement in respect of a function f(x): 1. f...

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  15. Consider the function f(x)={{:(x^(2)",",xgt2),(3x-2",",xle2):}. Which ...

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  18. What is lim(x to 0) (1-sqrt(1+x))/(x) equal to?

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