दिखाएँ कि `f(x)={x^3+3ifx!=0 1ifx=0` द्वारा दिया गया फ़ंक्शन f `x = 0` पर निरंतर नहीं है ....

Prove that f(x) = x^(3)+3 if x!=0 and 1 if x=0 is not differentiable at x = 0.

Show that f(x)={(sin3x)/(tan2x3/2,ifx=0),ifx 0i scon t inuou sa tx=0

f(x)={{:(1+x, if x le 2),(5-x,ifx gt 2):} at x = 2 .

f(x)={(x^(2)-x-6)/(x-3); if x!=35ifx=3 show that f(x) is continuous at x=3

If f(x)={(x-4)/(|x-4|a+b ,ifx=4)+a ,ifx 4i scon t inuou sa tx=4,fin da , b

The function f(x)=(3sin x-sin3x)/(x^(3)) for x!=0;f(0)=1 at x=0 is

Show that the function f given by f(x)={x^(3)+3 if x!=0quad 1 if x=0 is not continuous at x=0

Show that the function f(x)={x^2sin(1/x),ifx!=0 0,ifx=0 is differentiable at x=0 and f^(prime)(0)=0

If f: R->R is defined by f(x)={(x+2)/(x^2+3x+2) if x in R-{-1,-2}, -1 if x = -2 and 0 if x=-1. ifx=-2 then is continuous on the set

Let f(x)={[((e^(3x)-1))/(x),,x!=0],[3,,x=0]} then 2f'(0) is