Home
Class 12
MATHS
Let f(x)=lim(m->oo){lim(n->oo)cos^(2m)(n...

Let `f(x)=lim_(m->oo){lim_(n->oo)cos^(2m)(n !pix)},` where `x in Rdot` Then the range of f(x)

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise SOLVED EXAMPLES|1 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|38 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

lim_(x->oo) (x-sqrt(x^2+x))

Statement 1 lim_(mtooo)lim_(n tooo){sin^(2m)n!pin}=0m, n epsilonN ,when x is rational. Statement 2 When n to oo and x is rational n!x is integer.

Let f(x)be a monotic ploynomial of degree (2m-1) where m in N Then the equation f(x)-f(3x)+f(5x)+….+f((2m -1) has

Solve (i) lim_(xto0)cotx (ii) lim_(xto+oo)cot^(-1)x (where [.] denotes greatest integer function)

Find lim_(x to 2)f(x) , where f(x) = 3|x| - 2

Letf(x) = lim_( n to oo) (x^(n)-sin x^(n))/(x^(n)+sin x^(n)) " for" xgt 0, x ne 1,and f(1)=0 Discuss the continuity at x=1.

evaluate lim_(n->oo)((e^n)/pi)^(1/ n)

The value of lim_(nto oo)(sqrt(n^(2)+n+1)-[sqrt(n^(2)+n+1)]) where [.] denotes the greatest integer function is

Let f :[1/2,oo)rarr[3/4,oo), where f(x)=x^2-x+1. Find the inverse of f(x).

Evaluate lim_(xto oo)sqrt((x-sinx)/(x+cos^(2)x))