Find the value of k for which `lim_(x->oo)x^k(ln(x^2+2)-2lnx)(e^(1/x)-1)` is a finite non-zero number.

The least integer n for which lim_(x to 0) ((cos x - 1) (cos x - e^(x)))/(x^(n)) is a finite non-zero number is

The integer ' n ' for which lim_(x->0)((cos x-1)(cos x-e^x))/(x^n) is a finite non-zero number, is a.1 b. 2 c. 3 d. 4

The integer n for which lim_(x rarr0)((cos x-1)(cosx-e^x))/x^n is a finite non-zero number is :

The integer n for which the lim_(x to 0)(cos^(2)x-cosx-e^(x)cosx+e^(x)-(x^(3))/2)/(x^(n)) is a finite non-zero number is

The value of lim_(x rarr oo)x^(2)ln(x cot^(-1)x) is

The value of Lim_(x->oo)(xln(1+lnx/x))/lnx

(7) Find the value of lim_(x->0) ((e^(x)-1) log(1+x))/(x^(2))

The value of lim_(x rarr oo)((ln x)^(2))/(x^(2)) is

lim_(x to oo)((1+x+x^(2)))/(x(lnx)^(3)) is equal to