" (iii) "f(x)={[(1+2x)^((1)/(x))," if "x!=0],[e^(2)," if "x=0]quad " at "x=0

examine the contiunity of the following functions at indicated points . f(x) = {[(1+2x)^(1/x)if x!= 0],[(e^2)if x=0]:} at x=0 .

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

Is f(x)=(1+x)^((1)/(x)), when x!=0=e, when x=0 continuous at x=0?

f(x) {:((e^(5x)-e^(3x))/(sin2x)", if "x!=0),(=1", if "x=0):}} at x = 0 is ,

f(x)={(e^(x)-1)/(log(1+2x)),, if x!=0quad 7,quad if x=0 at x=0

Examine the continuity of the function f(x) = {((e^((1)/(x)))/(1 + e^((1)/(x)))",","if " x ne 0),(0",","if" x = 0):} at x= 0

f(x)={{:(e^(1//x)/(1+e^(1//x)),if x ne 0),(0,if x = 0):} at x = 0

f(x)={{:(e^(1//x)/(1+e^(1//x)),if x ne 0),(0,if x = 0):} at x = 0