The value of the constants a,b and c when f(x) is continuous at x=0

The value of f(0) so that f(x)=(3x+4 tan x)/(x) is continuous at x=0 is

The values of the constants a , b, c for which the function f(x)={(1+a x)^(1//x), x 0 and b, x=0 may be continuous at x=0, are

ind the value of a and b if f(x) is continuous at x=0. If f(x)={(sin(a+1)x+2sin x)/(2),x 0}

Let f(x)=[x], where [.] is the greatest integer fraction and g(x)=sin x be two valued functions over R. Which of the following statements is correct? (a) Both f(x) and g(x) are continuous at x=0 (b) f(x) is continuous at x=0, but g(x) is not continuous at x=0. (c) g(x) is continuous at x=0, but f(x) is not continuous at x=0. (d) Both f(x) and g(x) are discontinuous at x=0

f(x)=(x(1+a cos x)-b sin x)/(x^(3)),x!=0 and f(0)=1 The value of a and b so that f(x) is a continuous function are.

If f(x) ={ (x.ln(cosx))/ln (1+x^2) x!=0 , 0, x=0 then a) f is continuous at x =0 b) f is continuous at x =0 but not differentiable at x=0 c) f is differemtiable at x =0 d) f is not continuous at x =0

Let f(x)=|x|+|x-1|, then (a) f(x) is continuous at x=0, as well at x=1( b) f(x) is continuous at x=0, but not x=1(c)f(x) is continuous at x=1, but not at x=0 (d)none of these

If f(x)={(sin3x)/(x), when x!=01,quad when x=0. Find whether f(x) is continuous at x=0

Determine the value of the constant k so that the function f(x) = {:{((sinkx)/x, x ne 0),(4+x, x = 0):} is continuous at 0.

Let f(x)=|x|+|x-1|, then (a) f(x) is continuous at x=0, as well at x=1 (b) f(x) is continuous at x=0, but not at x=1 (c) f(x) is continuous at x=1, but not at x=0 (d)none of these