" 12."f(x)={[x^(10)-1,," if "x<=1],[x^(2),," if "x>1]

Find all points of discontinuity of f, where f is defined by f(x) = {:{(x^(10) -1, if x le1),(x-5, if x>1):}

f(x)={(|x^(2)-1|)/(x-1),quad f or x!=12,quad f or x=1 at x=1

f(x) = {:((sqrt(x+3)-2)/(x^(3)-1)", if " x!=1),(=1/12", if " x=1):}} at x = 1 , si

f(x)=(x)/(x+1), [1,2]

f(x)={[(1)/(e^(x-1)),,x!=10,,x=1

Let f(x)=(ax)/(x-1),x ne-1 .If 10f(x)=x, find the value of a.

Test the continuity of f(x), where f(x)={x^(2)+x+1,0<=x<=1 and x^(2)+2,1

Verify the Rolle's theorem for f(x)=(x-1)^(2) in [1,2].

f: R rarr (-1, 1) , f(x) = (10^(x)-10^(x))/(10^(x)+10^(-x)). If inverse of f^(-1) exists then find it .

If f(x) = ((x)/(2))^(10) , then f(1) + (f'(1))/(1!) + (f''(1))/(2!) + …….(f^((10))(1))/(10!) is equal to