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Practice Online Test Series for JEE Main 2018 & NEET 2018

`L_1=Lim_(x->4) (x-6)^x and L_2=Lim_(x->4) (x-6)^4`

A.

Both `L_1` and `L_2` exist

B.

Neither `L_1` nor `L_2` exist

C.

`L_1` exists but `L_2` does not exist

D.

`L_2` exists but `L_1` does not exist

Solution

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Best answer

`Let cot^-1 3=theta`

`=> cot theta=2`

`cos theta=3/sqrt10`