Find `A` so that `f(x)` is continous at `x=0` where `f(x)={[(1-cos8x)/(4x^(2))," 4"x!=0],[" A ",x=0]}`

If f(x) is continuous at x=0 , where f(x)=(3-4cos x+cos 2x)/(x^(2)) , for x!=0 , then f(0)=

If f(x) is continuous at x=0 , where f(x)=(3-4cos x+cos 2x)/(x^(4)) , for x!=0 , then f(0)=

If f(x) is continuous at x=0 , where f(x)=(sin (pi cos^(2)x))/(x^(2)) , for x!=0 , then f(0)=

If f(x) is continuous at x=0 , where f(x)=((4-3x)/(4))^(8/x)", for " x!=0 , then f(0)=

If f(x) is continuous at x=0 , where f(x)=((4-3x)/(4+5x))^(1/x)", for " x!=0 , then f(0)=

If f(x) is continuous at x=0 , where f(x)=(1-cos 3x)/( x tan x) for x != 0 , then f(0)=

If f(x) is continuous at x=0 , where f(x)=(1+2x)^(1/x)", for " x!=0 , then f(0)=

Find the value of the constant k so that the function f , defined below, is continuous at x=0 , where f(x)={((1-cos4x)/(8x^2))k"if"x!="if"x=0

If f(x) is continuous at x=0 , where f(x)={:{((1-cos 4x)/(x^(2))", for " x lt 0),(k", for " x =0),((sqrt(x))/(sqrt(16+sqrt(x))-4)", for " x gt 0):} , then k=

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