Home
Class 12
MATHS
Statement 1 lim(mtooo)lim(n tooo){sin^(2...

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.

A

(a)Statement 1 is true, Statement 2 is true, Statement 2 is correct explanation for statement 1.

B

(b)Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for statement 1.

C

(c)Statement 1 is true, Statement 2 is false

D

(d)Statement 1 is false, Statement 2 is true

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|39 Videos

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Lim_(n to oo) (-1)^(n)sin(pisqrt(n^(2)+n)), n epsilon N is

lim_(n to oo)(n!)/((n+1)!-n!)

lim_(n rarr oo)2^(1/n)

If f(x)=lim_(m->oo) lim_(n->oo)cos^(2m) n!pix then the range of f(x) is

Let f(x)= lim_(n->oo)(sinx)^(2n)

lim_(n->oo)sin(x/2^n)/(x/2^n)

Let f(x)=lim_(m->oo){lim_(n->oo)cos^(2m)(n !pix)}, where x in Rdot Then prove that f(x)={1, if x is rational and 0, if x is irrational

lim_(n->oo)2^(n-1)sin(a/2^n)

lim_(n to oo) n/(2^n)int_0^2x^n \ dx equals

(lim)_(n to oo)n/(2^n)int_0^2x^n dx equals___