" 7."(1+(1)/(1))(1+(1)/(2))(1+(1)/(3))dots(1+(1)/(n))=n+1

Which of the following is equal to (1-(1)/(3))(1-(1)/(4))(1-(1)/(5))dots(1-(1)/(n))?

What is the value of the following? (1-(1)/(2))(1-(1)/(3))(1-(1)/(4))dots(1-(1)/(n-1))(1-(1)/(n))

(1-(1)/(3))(1-(1)/(4))(1-(1)/(5))(1-(1)/(6))dots(1-(1)/(n))

Find the product of (1-(1)/(6))(1-(1)/(7))(1-(1)/(8))dots(1-(1)/(n+4)(1-(1)/(n+5)) for n>=4

Evaluate(with the help of definite integral): lim_(n rarr oo){(1+(1)/(n))(1+(2)/(n))dots(1+(n)/(n))}^((1)/(n))

For all ngt=1 , prove that , (1)/(1.2) + (1)/(2.3) + (1)/(3.4) + ……+ (1)/(n(n+1)) = (n)/(n+1)

Prove that by using the principle of mathematical induction for all n in N : (1+(3)/(1))(1+(5)/(4))(1+(7)/(9))....(1_+((2n+1))/(n^(2)))= (n+1)^(2)

Prove that by using the principle of mathematical induction for all n in N : (1+(3)/(1))(1+(5)/(4))(1+(7)/(9))....(1_+((2n+1))/(n^(2)))= (n+1)^(2)

(1)/(n)+(1)/(n+1)+(1)/(n+2)++(1)/(2n-1)=1-(1)/(2)+( 1)/(3)-(1)/(4)++(1)/(2n-1)