consider the sequence `x_n,n>=1`, defined as : `x_n=(1+2/(n^a))^(-n^6)*n^c` where a, b and c are real numbers. Which of the following arc true?

int_(n in N)(a*x^(n-1))/(bx^(n)+c)dx where a,b,c are real nuber

x=(at+b)^(n) where a, b and n are a real number then (dx)/(dt)=an(at+b)^(n-1) .

True or False: int x^ndx=(x^(n+1))/(n+1)+C , where n is any integer.

if a N= {a x:x in N} and b N cap c N = dN , where b,c in N are relatively prime , then

if a N= {a x:x iin N} and b N cap c N , where b,c in N are relatively prime , then

The period of f(x)=[x]+[2x]+[3x]+[4x]+[n x]-(n(n+1))/2x , where n in N , is (where [dot] represents greatest integer function) then which of the following is correct a. n (b) 1 (c) 1/n (d) none of these

The period of f(x)=[x]+[2x]+[3x]+[4x]+[n x]-(n(n+1))/2x , where n in N , is (where [dot] represents greatest integer function) then which of the following is correct a. n (b) 1 (c) 1/n (d) none of these

The period of f(x)=[x]+[2x]+[3x]+[4x]+[n x]-(n(n+1))/2x , where n in N , is (where [dot] represents greatest integer function) then which of the following is correct a. n (b) 1 (c) 1/n (d) none of these

If alphaa n dbeta are the rootsof he equations x^2-a x+b=0a n dA_n=alpha^n+beta^n , then which of the following is true? a. A_(n+1)=a A_n+b A_(n-1) b. A_(n+1)=b A_(n-1)+a A_n c. A_(n+1)=a A_n-b A_(n-1) d. A_(n+1)=b A_(n-1)-a A_n