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("lim")(xvecoo)(x^2tan1/x)/(sqrt(8x^2+7x...

`("lim")_(xvecoo)(x^2tan1/x)/(sqrt(8x^2+7x+1))i se q u a lto:` `-1/(2sqrt(2)` (b) `1/(2sqrt(2))` `1/(sqrt(2))` (d) does not exist

A

`-1/(2sqrt2)`

B

`1/(2sqrt2)`

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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