1.

If 1-p is a root of the equation `x^(2)+px+1-p=0`, then its roots areA. `0,-1`B. `-1,1`C. `0,1`D. `-1,2`

Answer» Correct Answer - D
`LHL = underset(xrarro^(-))(Lim)(x)/(ln(1+x)).[x]^(2)ln2=ln2`
`RHL = underset(xrarr0^(+))(Lim)(ln(e^(x^(2))+2sqrt(x)))/(sqrt(x)((tansqrt(x))/(sqrt(x))))=underset(xrarr0^(+))(Lim)(lne^(x^(2))+ln(1+(2sqrt(x))/(e^(x^(2)))))/(sqrt(x))`
`=underset(xrarr0^(+))(Lim)(x^(2))/(sqrt(x))+ln(1+(2sqrt(x))/(e^(x^(2))))/((2sqrt(x))/(e^(x^(2))))x(2)/(e^(x^(2)))=2impliesLHL ne RHL `


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