" (i) "[f(x),=(e^(5x)-e^(2x))/(sin3x)],[,=1]

If {:(f(x),=(e^(5x)-e^(2x))/(sin 3x),",",x != 0),(,=k/2, ",",x = 0):} is continuous at x = 0, the value of k is

If {:(f(x),=(e^(5x)-e^(2x))/(sin 3x),",",x != 0),(,=k/2, ",",x = 0):} is continuous at x = 0, the value of k is

Examine the continuity of the following function at given points f(x)=(e^(5x)-e^(2x))/(sin3x) for x!=0 and =1 for x=0} at x=0

Discuss the continuity of the functions at the points given against them. If a function is discontinuous, determine whether the discontiunity is removable. In this case, redefine the function, so that it becomes continuous : {:(f(x)=(e^(5x)-e^(2x))/(sin3x)",", "for" x ne0),(=1",", "for" x=0):}}at x=0.

lim_(x rarr0)(3^(5x)-e^(2x))/(sin3x)

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

f(x)=(e^(2x)-1)/(e^(2x)+1) is

f(x)=((e^(2x)-1)/(e^(2x)+1)) is

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

If f(x) ={((5^(x)-e^(x))/(sin 2x),",",x != 0),(1/2(log 5+1),",",x = 0):} , then