f(x)={[(1-x^(n))/(1-x),,x!=1],[n-1,,x=1]quad n in N" at "x=1

f(x)={(1-x^(n))/(1-x),quad x!=1n-1,quad x=1quad n in N at x=1

f(x)={(1-x^n)/(1-x),\ \ \( x!=1, (n-1) at x=1, n in N at x=1

Is the function f(X) = {:{((1-x^n)/(1-x), x ne 1),(n-1,x=1):} , n in N continuous at x =1?

f(x)=(x^(n)-1)/(x-1),x!=1 and f(x)=n^(2),x=1 continuous at x=1 then the value of n

If f(x)=(a-x^(n))^((1)/(n)),a>0 and n in N, then prove that f(f(x))=x for all x.

If f(x)=(a-x^(n))^(1 / n) , then f(f(x)) =

If f(x) = (a-x^n)^(1/n), a > 0 and n in N , then prove that f(f(x)) = x for all x.

Let f(x)=(x-1)^(4)(x-2)^(n),n in N. Then f(x) has maximum at x=1 if n is odd a maximum at x=1 if n is even a minimum at x=1 if n is even a minima at x=2 if n is even

From the relation 1+x+x^(2)+* * * + x^(n-1)=(1-x^(n))/(1-x) , find the sum of the series 1+2x+3x^(2)+* * * +(n-1)x^(n-2) .

f(x)=(x+x^(2)+......+x^(n)-n)/(x-1),x!=1 then value of f(1) so that f is continuous is (A) n(B)(n(n-1))/(2) (C) (n(n+1))/(2) (D) (n+1)/(2)