The integer n for which ("lim")(xvec0)((...

The integer `n` for which `("lim")_(xvec0)((cosx-1)(cosx-ehatx)/(x^n)` is finite nonzero number is ________

A

1

B

2

C

3

D

4

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

The integer n for which lim_(x rarr0)((cos x-1)(cos x-e^(x)))/(x^(n)) is finite nonzero number is

The integer n for which lim_(x rarr0)((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 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

lim_(xrarr0)(cos 2x-1)/(cosx-1)

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

lim_(x->0)(1/x)^(1-cosx)

Find the integral value of n for which lim_(x rarr0)(cos^(2)x-cos x-e^(x)cos x+e^(x)-(x^(3))/(2))/(x^(n)) is a finite nonzero number