lim(nto oo) (1)/(n^(2))sum(r=1)^(n) re^(...

`lim_(nto oo) (1)/(n^(2))sum_(r=1)^(n) re^(r//n)=`

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" if " Delta_(r) = |{:(r,,612,,915),(101r^(2),,2r,,3r),(r,,(1)/(r),,(1)/(r^(2))):}| then the value of lim_( n to oo) .(1)/(n^(3)) (Sigma_(r=1)^(n) Delta_(r) " is " "____"

If f(x) is integrable over [1,2] then int_(1)^(2)f(x)dx is equal to (a) lim_(nto oo) 1/n sum_(r=1)^(n)f(r/n) (b) lim_(nto oo) 1/n sum_(r=n+1)^(2n) f(r/n) (c) lim_(nto oo) 1/n sum_(r=1)^(n)f((r+n)/n) (d) lim_(nto oo) 1/n sum_(r=1)^(2n)f(r/n)

Evaluate lim_(n->oo)1/nsum_(r=n+1)^(2n)log_e(1+r/n)

Given that lim_(nto oo) sum_(r=1)^(n) (log (r+n)-log n)/(n)=2(log 2-(1)/(2)) , lim_(n to oo) [(1)/(n^k)[(n+1)^k(n+2)^k.....(n+n)^k]]^(1//n) , is

Find the value of lim_(n to oo) (tan(sum_(r=1)^(n) tan^(-1)((4)/(4r^(2)+3)))) .

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lim_(n to oo)(n!)/((n+1)!-n!)

OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Chapter Test 1

int(-pi//2)^(pi//2) sin^(2)x cos^(2) x(sin xcos x)dx=
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lim(nto oo) (1)/(n^(2))sum(r=1)^(n) re^(r//n)=
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The value of int(-pi)^(pi)(1-x^(2)) sin x cos^(2) x" dx", is
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int(-pi)^(pi) [cos px-sin qx]^(2) dx where p,q are integers is equal t...
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about to only mathematics
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The value of int(3)^(5) (x^(2))/(x^(2)-4)dx, is
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The greater value of (x)=int(-1//2)^(x) |t|dt on the interval [-1//2,1...
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f(x)={:{(1-x","" "0 le c le 1),(0","" "1 le x le 2" and "phi ...
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If f(x)=int(-1)^(x)|t|dt, then for any xge0,f(x) equals
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int0^(2) (x-log(2)a)dx=2 log((2)/(a)), if
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If int(1)^(a) (a-4x)dx ge 6-5a, a gt 1, then a equals
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The value of int1^2 {f(g(x))}^(-1)f'(g(x))g'(x) dx , where g(1)=g(2),...
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If C0/1+C1/2+C2/3=0 , where C0 C1, C2 are all real, the equation C2x...
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The solution of the equation int(log(2))^(x) (1)/(e^(x)-1)dx=log(3)/(2...
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If int(a)^(b) (x^(n))/(x^(n)+(16-x)^(n))dx=6, then
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Let m be any integer. Then, the integral int(0)^(pi) (sin 2m x)/(sin x...
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int(-pi//4)^(pi//4) e^(-x)sin x" dx" is
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If (d(f(x)))/(dx) = g(x) AA x in [a, b] then int(a)^(b)f(x).g(x)dx is ...
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Evaluate : int(-pi/2)^(pi/2)(cosx)/(1+e^x)dx
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