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If the sum sqrt(1+1/(1^2)+1/(2^2))+sqrt(...

If the sum `sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4^2))+..........+sqrt(1+1/(1999^2)+1/(2000^2))` is equal to `n-1/n` where n`in`N. Find n

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If the sum sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4^2))+..........+sqrt(1+1/(1999^2)+1/(2000^2)) is equal to n-1/n where ninN. Find n

If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4^2))++sqrt(1+1/((1999)^2)+(2000)^2)=x-1/x

lim_(n rarr oo)(1)/(n^(3))(sqrt(n^(2)+1)+2sqrt(n^(2)+2^(2))+...+n sqrt(n^(2)+n^(2))) is equal to

lim _(x to oo) (1)/(n ^(3))(sqrt(n ^(2)+1)+2 sqrt(n ^(2) +2 ^(2))+ .... + n sqrt((n ^(2) + n ^(2)))=:

lim_(nrarroo)((1)/(sqrt(n^(2)))+(1)/(sqrt(n^(2)-1^(2)))+(1)/(sqrt(n^(2)-2^(2)))+....+(1)/(sqrt(n^(2)-(n-1)^(2)))) is equal to

lim_(n rarr0)(sqrt(1+n^(2))-sqrt(1-n+n^(2)))/(3^(n)-1)

The sum of the series (1)/(sqrt(1)+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+ . . . . .+(1)/(sqrt(n^(2)-1)+sqrt(n^(2))) equals

lim_(nto oo)1/n+(1)/(sqrt(n^(2)+n))+(1)/(sqrt(n^(2)+2n))+...(1)/(sqrt(n^(2)+(n-1)n)) is equal to

lim_(n to oo)(1)/(n)(1+sqrt((n)/(n+1))+sqrt((n)/(n+2))+....+sqrt((n)/(4n-3))) is equal to:

RESONANCE DPP-JEE MAINS-All Questions
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  3. If the sum sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3...

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  5. Solve the following equations : (i) |x-2| = sqrt(x-4) , (ii) (|x-2|)...

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  13. int(e^x(2-x^2))/((1-x)sqrt(1-x^2))dx= e^xdotsqrt((1-x)/(1+x))+c (b) ...

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  14. solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=...

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  15. Let f(x)=intx^2(2x+6tanx-2xtan^2x) cos^2xdxa n df(x) passes through th...

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  16. In a geometric progression consisting of positive terms, each term ...

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  17. For each positive integer n , let f(n+1)=n(-1)^(n+1)-2f(n) and f(1)=(2...

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  18. Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2...

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  19. If the function f(x)=(4,sin ^2 x-1)^n(x^2-x+1)n in N has a local maxim...

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  20. The value of ("lim")(xvec0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n))...

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