lim_(x rarr0)((cos x-1)(cos x-e^(x)))/(x^(n))

lim_(x rarr0)(cos x-1)/(x)

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

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

lim_(x rarr0)(cos x)^(cot x)

lim_(x rarr0)cos(sin x)

lim_(x rarr0)[cos x]is

lim_(x rarr0)(cos ecx-cot x)

lim_(x rarr0)(cos x)/(x+1)

lim_(x rarr0)(1-cos x)/(x)

lim_(x rarr0)(cos x)/(x+2)