Home
Class 12
MATHS
Examine the continuity or discontinuity ...

Examine the continuity or discontinuity of the following :
(i) `f(x) = [x] + [-x]`
(ii) `g(x) = lim_(n to oo)(x^(2n) -1)/(x^(2n) + 1)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Subjective Type Questions)|6 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 8|2 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Discuss the continuity of f(x)=(lim)_(n->oo)(x^(2n)-1)/(x^(2n)+1)

Discuss the continuity of the function f(x) = underset(n rarr oo)(lim) (log (2 + x)-x^(2n) sin x)/(1+x^(2n))"at x" = 1

Let f(x)=lim_(n->oo)(log(2+x)-x^(2n)sinx)/(1+x^(2n)) . then

lim_(x->oo)(1-x+x.e^(1/n))^n

The equivalent definition of the function f(x)=lim_(n to oo)(x^(n)-x^(-n))/(x^(n)+x^(-n)), x gt 0 , is

Find the values of a if f(x)=("lim")_(n rarr oo)(a x^(2n)+2)/(x^(2n)+a+1) is continuous at x=1.

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

ARIHANT MATHS ENGLISH-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 7
  1. Examine the continuity or discontinuity of the following : (i) f(x) ...

    Text Solution

    |