let `f(x)={{:((sqrt(2)cosx-1)/(cotx-1),xne(pi)/(4)),(k,x=(pi)/(4)):}`
Find k for which f(x) is continuous

if f(x)=(sqrt(2)cos x-1)/(cot x-1),x!=(pi)/(4) Find the value of f((pi)/(4)) so that f(x) becomes continuous at x=(pi)/(4)

If f(x)=(sqrt(2)cos x-1)/(cot x-1),x!=(pi)/(4). Find the value of f((pi)/(4)) so that f(x) becomes continuous at x=(pi)/(4)

If f(x)=(sqrt(2)cos x-1)/(cot x-1),x!=(pi)/(4). Find the value of f((pi)/(4)) so that f(x) becomes continuous at x=pi/4

If f(x)=(sqrt(2)cosx-1)/(cotx-1),x!=(pi)/(4) . Then, find value of f((pi)/(4)) , so that f(x) becomes continuous at x=(pi)/(4) .

If f(x)=(sqrt(2)cosx-1)/(cotx-1) , x!=pi/4 . Find the value of f(pi/4) so that f(x) becomes continuous at x=pi//4 .

Let f(x) = {((tanx - cotx)/(x-pi/4), xne pi/4),(a, x = pi/4):} . The value of 'a' so that f(x) is continuous at x = pi/4 is

If f(x) = (sqrt(2) cos x-1)/(cotx-1) , x nepi/4 , find the value of f(pi/4) so that f(x) becomes continuous at x = pi/4

If f(x)=(sqrt(2)cosx-1)/(cotx-1),x!=pi/4dot Find the value of f(pi/4) so that f(x) becomes continuous at x=pi/4dot

If f(x)={{:((1-sqrt2sinx)/(pi-4x)",",ifxne(pi)/(4)),(a",",if x=(pi)/(4)):} in continuous at (pi)/(4) , then a is equal to :