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lim(xtooo) (x^(2)"tan"(1)/(x))/(sqrt(8x^...

`lim_(xtooo) (x^(2)"tan"(1)/(x))/(sqrt(8x^(2)+7x+1))` is equal to

A

4

B

`(1//2`

C

2

D

`1//4`

Text Solution

Verified by Experts

The correct Answer is:
A
`underset(xtooo)lim(x^(2)"tan"(1)/(x))/(sqrt(8x^(2)+7x+1))=underset(xtooo)lim(x^(2)"tan"(1)/(x) )/(-xsqrt(8+(7)/(x)+(1)/(x^(2))))`
`=underset(xtooo)lim("tan"(1)/(x) )/((1)/(x)sqrt(8+(7)/(x)+(1)/(x^(2))))=-(1)/(2sqrt(2))`
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