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

If f(x) is continuous at x=0 , where f(x)=((e^(3x)-1)sin x^(@))/(x^(2)) , for x!=0 , then f(0)=

if f(x)=e^(-(1)/(x^(2))),x!=0 and f(0)=0 then f'(0) is

if f(x)=e^(-(1)/(x^(2))),x>0 and f(x)=0,x<=0 then f(x) is

Let f(x)={[2-x,,-3lexle0],[x-2,,0ltxlt4]} then f'(x) is discontinuous at

If f(x) is continuous at x=0 , where f(x)=(e^(5x)-e^(2x))/(sin 3x) , for x!=0 then f(0)=

Let f(x)=[((x^2+3x-1)t a n x)/(x^2+2x)\ if\ x!=0,kif\ x=0 f(x) is continuous , then find the value of kdot

Let f(x)=(e^(x)x cos x-x log_(e)(1+x)-x)/(x^(2)),x!=0 If f(x) is continuous at x=0, then f(0) is equal to

If f(x)={{:((e^((2)/(x))-1)/(e^((2)/(x))+1),:,x ne 0),(0,:,x=0):} , then f(x) is

f(x)={e^(-(1)/(x^(2)))x>0 and 0x<=0 then f(x) is

Let f(x)={(1+3x)^((1)/(7)),x!=0e^(3),x=0 Discuss the continuity of f(x) at (a) x=0 (b) x=1