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If G(x)=-sqrt(25-x^(2)),then lim(xto1) (...

If `G(x)=-sqrt(25-x^(2)),then lim_(xto1) (G(x)-G(t))/(x-1)` is

A

`1/24`

B

`1/5`

C

`-sqrt(24)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
`underset(xto1)lim(G(x)-G(1))/(x-1)=underset(x to 1)limG'(x)`
`=underset(x to 1)lim-(1)/(2sqrt(25-x^(2)))(-2x)`
`=(1)/(sqrt24)`
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