Home
Class 11
MATHS
(lim)(x->0)(cos2x-1)/(cosx-1)...

`(lim)_(x->0)(cos2x-1)/(cosx-1)`

Text Solution

AI Generated Solution

To evaluate the limit \(\lim_{x \to 0} \frac{\cos 2x - 1}{\cos x - 1}\), we can follow these steps: ### Step 1: Substitute \(\cos 2x\) We know that \(\cos 2x\) can be expressed using the identity: \[ \cos 2x = 1 - 2\sin^2 x \] So we can rewrite the limit as: ...
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|25 Videos

  • LIMITS AND DERIVATIVES

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|30 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT ENGLISH|Exercise EXERCISE 12.1|4 Videos

  • LINEAR INEQUALITIES

    NCERT ENGLISH|Exercise EXERCISE 6.2|10 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following limit: (lim)_(x->0)(cos2x-1)/(cos x-1)

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

Evaluate the following limit: (lim)_(x->0)(1-cos2x)/(cos2x-cos8x)

Evaluate ("lim")_(x->0) (sinx-2)/(cosx-1)

lim_(x to 0) (cos 2x-1)/(cos x-1)

The integer n for which lim_(x->0)((cosx-1)(cosx-e^x))/(x^n) is finite nonzero number is ________

The integer n for which lim_(x->0)((cosx-1)(cosx-e^x))/(x^n) is finite nonzero number is ________

Evaluate: lim_(x->0) (1-cos2x)/(x^2)

(lim)_(xrarr0)((1-cos2x)(3+cosx)/(xtan4x)) is equal to (1) 1/2 (2) 1 (3) 2 (4) -1/4

If and n are positive integers, then lim_(x->0)((cosx)^(1/ m)-(cosx)^(1/ n))/(x^2) equal to :