If `f(x)=((256+ax)^((1)/(8))-2)/((32+bx)^((1)/(5))-2)` is continuous at x=0 then the value of `(a)/(b)` is

If the function f(x)=((128a+ax)^((1)/(8))-2)/((32+bx)^((1)/(5))-2) is continuous at x=0, then the value of (a)/(b) is (A) (3)/(5)f(0)(B)2^((8)/(5))f(0)(C)(64)/(5)f(0)(D) none of these

The value of f(0) so that the function f(x)=(2-(256-7x)^((1)/(8)))/((5x+32)^(1/5)-2),x!=0 is continuous everywhere,is given by -1( b) 1(c)26 (d) none of these

Let f: R to R be a function defined as f(x)={(,(sin (a+1)x+sin 2x)/(2x), if x lt 0),(, b, if x=0), (,(sqrt(x+bx^(3))-sqrtx)/(bx^(5/2)), if x gt 0):} If f is continuous at x=0 then the value of a+b is equal to :

If f(x)={((log(1+2ax)-log(1-bx))/(x)",", x ne 0),(k",", x =0):} is continuous at x = 0, then value of k is

If the f(x) =(log(1+ax)-log(1-bx))/x , xne0 is continuous at x = 0 then, f(0) = .....

Value of f(-2), if f(x) = (x^(3)+8)/(x^(5)+32) is continuous at x = -2 is

let f(x)={(ax+1, if x le 1),(3, if x=1),(bx^2+1,if x > 1)) if f(x) is continuous at x=1 then value of a-b is (A) 0 (B) 1 (C) 2 (D) 4

Value of f(0) so that f(x) = [ ((1+x)^(5))/((1+2x))]^(1//x) is continuous at x = 0 is

If f(x)=(2-(256-7x)^(1//8))/((5x+32)^(1//5)-2) ( x ne 0) , then for f to be continuous on [-1,1] , f(0) is equal to