Let `f(x)=log(1+x^2)/(x^4-26x^2+25`Then 1)`f` is continuous on ([6,10](2) f is continuous on [-2,2](3) f is continous on [-6,6]4) f is continuous on [1,])

If f(x)=(x-2)/(x), then in [0,pi] (A) both tan(f(x)) and (1)/(f(x)) are continuous.(B) tan(f(x)) is continuous but f^(-1)(x) is not continuous (C) tan (f^(-1)x) and f^(-1)x are discontinous (D) none of these

If f(x)=|(log)_(10)x|,t h e na tx=1 f(x) is continuous and f^(prime)(1^+)=(log)_(10)e f(x) is continuous and f^(prime)(1^+)=(log)_(10)e f(x) is continuous and f^(prime)(1^-)=(log)_(10)e f(x) is continuous and f^(prime)(1^-)=-(log)_(10)e

For the function f(x)=1/(x+2^(1/(x-2)) x!=2 which of the following holds (A)f(2)=1/2 and f is continuous at x = 2 (B) f(2) != 0, 1/2 and f is continuous at x = 2(C) f can not be continuous at x = 2 (D)f(2) = 0 and f is continuous at x =2

Let f (x) be an odd function for continuous at x in R If f(x) is continuous at x = a, prove that it is continous at x=-a

If f(x) = (sqrt(x+3)-2)/(x^(3)-1) , x != 1 , is continuous at x = 1, then f(1) is

If f(x) = (sqrt(x+3)-2)/(x^(3)-1) , x != 1 , is continuous at x = 1, then f(1) is

If f(x)=|log_(10)x| then at x=11 fis not continuous2) fis continuous but not differentiable 3 ) fis differentiable4) the derivative is 1

If f(x) = sqrt((1)/(tan^(-1)(x^(2)-4x + 3))) , then f(x) is continuous for