Let f(x)={ [(x)/(2x^(2)+|x|)", "x!=0],[1...

Let f(x)=`{ [(x)/(2x^(2)+|x|)", "x!=0],[1", "x=0] }` then f(x) is
(A) continuous but non-differentiable at x=0 (B) differentiable at x=0 (C) discontinuous at x=0 (D) none of these

Promotional Banner

Promotional Banner

Recommended Questions

Let f(x)={ [(x)/(2x^(2)+|x|)", "x!=0],[1", "x=0] } then f(x) is (A) ...
Text Solution
|
Let f : R rarr R satisfying l f (x) l <= x^2 for x in R, then (A) f' i...
Text Solution
|
If f(x) ={ (x.ln(cosx))/ln (1+x^2) x!=0 , 0, x=0 then a) f is continuo...
Text Solution
|
The function f(x)=sin^(-1)(cosx) is (a) . discontinuous at x=0 (b). ...
Text Solution
|
if f(x)=(x(3e^((1)/(x))+4))/(2-e^((1)/(x))) if x!=0 and f(x)=0 if x=0 ...
Text Solution
|
The function f(x)=sin^(-1)(cosx) is discontinuous at x=0 (b) continuou...
Text Solution
|
1.If lim(x rarr0)(f(x))/(x) exists and f(0)=0 then f(x) is (a) continu...
Text Solution
|
Let f(x)={{:(,x^(n)"sin "(1)/(x),x ne 0),(,0,x=0):} Then f(x) is conti...
Text Solution
|
Let f(x)={ [(x)/(2x^(2)+|x|)", "x!=0],[1", "x=0] } then f(x) is (A) ...
Text Solution
|