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)`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

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

  • CONTINUITY AND DIFFERENTIABILITY

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

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 8|3 Videos

  • COORDINATE SYSTEM AND COORDINATES

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

Similar Questions

Explore conceptually related problems

Examine for continuity the following functions: f(x) = {:(2x-1, if x < 2),(3/2x, if x ge2):}

Examine for continuity the following functions: f(x) = {:(x^2, if x ge1),(x, if x < 1):}

Examine the continuity of the following function at x = 2 : f(x) = {{:(2x + 1 "," ,x le 2),(3x - 1",", x gt 2):}

Examine the continuity of the following function at x = 2 : f(x) = {{:(3x + 1 "," ,x le 2),(4x - 1",", x gt 2):}

Examine for continuity the following functions: f(x) = {:{(-2,if x le-1),(2x, if -1 1):}

Examine for continuity the following functions: f(x) = {:{(x^2, if xle1),(x-2,ifx>1):}

Examine the continuity of the function f(x) = {:{(x+1,xle2),(2x-1,x>2):} at x = 2

Examine the continuity of the function f(x) = {:{(3x-2,xle0),(x+1,x>0):} at x = 0

Examine the following functions for continuity: f(x) = |x| + |x-1| at x = 1

Examine for continuity, each of the following functions: f(x) = {:{((x-a) sin (1/(x-a)), x ne a), (0, x = a):} at x = a