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

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

A

continuous at `x=pi//2`

B

discotinuous at `x=pi//2`

C

discontinous at `x=-pi//2`

D

discontinuous at an infinite number of points.

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f(x)=lim_(n rarr oo)(sin x)^(2n)

Let f(x)=(lim)_(n->oo)(2x^(2n)sin1/x+x)/(1+x^(2n))\ then find :\ (lim)_(x->-oo)f(x)

Let f(x)=lim_(n to oo) ((2 sin x)^(2n))/(3^(n)-(2 cos x)^(2n)), n in Z . Then

Let f(x)=lim_(n->oo)(2x^(2n)sin(1/x)+x)/(1+x^(2n)) then find (a) lim_(x->oo) xf(x) (b) lim_(x->1) f(x) (c) lim_(x->0) f(x) (d) lim_(x->-oo) f(x)

Let f(x)=lim_(ntooo) (x)/(x^(2n)+1). Then

Let f(x)=lim_(n rarr oo)(2x^(2n)sin\ 1/x+x)/(1+x^(2n)) then find (a) lim_(x rarr oo) x f(x) (b) lim_(x rarr 1) f(x)

Let f(x)=lim_(n rarr oo)(x^(2n-1)+ax^(2)+bx)/(x^(2n)+1). If f(x) is continuous for all x in R then find the values of a and b.

Let f(x)=lim_( n to oo) (x^(2n-1) + ax^2 +bx)/(x^(2n) +1) . If f is continuous for x in R , then the value of a+8b is