Home
Class 12
MATHS
The value of ("lim")(xvecoo)(cos"x"/"m")...

The value of `("lim")_(xvecoo)(cos"x"/"m")^("m")` is 1 (b) e (c) `e^(-1)` (d) none of these

A

1

B

e

C

`e^(-1)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise PROBLEM SET (1) (TRUE AND FALSE) |4 Videos
  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise PROBLEM SET (1) (FILL IN THE BLANKS) |7 Videos
  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Self Assessment Test|25 Videos
  • LINEAR PROGRAMMING

    ML KHANNA|Exercise Self Assessment Test|8 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(m rarr oo)(cos((x)/(m)))^(m) is 1(b)e(c)e^(-1)(d) none of these

The value of ("lim")_(xvec0)(e^(2x)-cos x-"ln"(1+2x))/(xtanx-sinx)i s 0 (b) 1 (c) 2 (d) 3

The value of (lim)x rarr0(sqrt(1-cos x^(2)))/(1-cos x) is a.(1)/(2) b.2 c.sqrt(2)d .none of these

The value of lim_(x rarr0)(1+sin x-cos x+log(1-x))/(x^(3)) is (1)/(2)(b)-(1)/(2)(c)0(d) none of these

(xe^x)/(1+x)^2dx= (A) e^x/(1+x) (B) e^x/(1+x)^2 (C) e^xlog(1+x) (D) none of these

The value of lim_(x rarr 0) (1-cos2x)/(e^(x^(2))-e^(x)+x) is

The value of (lim)_(xvecoo)[tan^(-1)(x+1)/(x+2)-dotpi/4],w h e r e[x] denotes greatest integer lt=x , is 1/2 b. -1/2 c.1 d. -1

The value of lim_(x->1)(2-x)^(tan((pix)/2)) is e^(-2/pi) (b) e^(1/pi) (c) e^(2/pi) (d) e^(-1/pi)

f(x)=(1n(x^2+e^x))/(1n(x^4+e^(2x)))dotT h e n lim_(x->oo)f(x) is equal to (a) 1 (b) 1/2 (c) 2 (d) none of these

int_0^oo (xlogx)/(1+x^2)^2dx= (A) e (B) 1 (C) 0 (D) none of these