Home
Class 12
MATHS
Which of the following function (s) has/...

Which of the following function (s) has/have removable discontinuity at `x=1` (A) `f(x)=1/(ln(|x|)` (B) `f(x)= (x^2-1)/(x^3-1)` (c) `f(x)= 2^(-2^(1/(1-x)))` (D) `f(x)=(sqrt(x+1)-sqrt(2x))/(x^2-x)`

Promotional Banner

Similar Questions

Explore conceptually related problems

Which of the following function(s) is/are transcendental? a. f(x)=5sin(sqrt(x)) b. f(x)=(2sin3x)/(x^(2)+2x-1) c. f(x)=sqrt(x^(2)+2x+1) d. f(x)=(x^(2)+3)*2^(x)

Which of the following function is (are) even, odd, or neither? (a). f(x)=x^2sinx (b). f(x)=log((1-x)/(1+x)) (c). f(x)=log(x+sqrt(1+x^2)) (d). f(x)=(e^x+e^(-x))/2

Which of the following function is (are) even, odd, or neither? (a). f(x)=x^2sinx (b). f(x)=log((1-x)/(1+x)) (c). f(x)=log(x+sqrt(1+x^2)) (d). f(x)=(e^x+e^(-x))/2

Which of the following functions is (are) even, odd, or neither ? (i) f(x)=x^(2)sinx " (ii) " f(x)=sqrt(1+x+x^(2))-sqrt(1-x+x^(2)) (iii) f(x)=log((1-x)/(1+x)) " (iv) " f(x)=log(x+sqrt(1+x^(2))) (v) f(x)=sinx-cosx " (vi) " f(x)=(e^(x)+e^(-x))/(2)

f(x)=sqrt(log((3x-x^(2))/(x-1)))

f(x)=sqrt(log((3x-x^(2))/(x-1)))

f(x)=sqrt(log((3x-x^(2))/(x-1)))

For which of the following functions f(0) exists such that f(x) is continuous at f(x)=1/((log)_e|x|) b. f(x)=1/((log)_"e"|x|) c. f(x)=x sinpi/x d. f(x)=1/(1+2^(cot x))

Which of the following is an even function a )f(x)=(a^(x)+a^(-x))/(a^(x)-a^(-x)) b) f(x)=(a^(x)+1)/(a^(x)-1) c) f(x)=x(a^(x)-1)/(a^(x)+1)(d)f(x)=log_(2)(x+sqrt(x^(2)+1))