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Find the value of `lim_(n rarr oo)sum_(k=1)^(n)(k^(2)+k-1)/((k+1)!) `.

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CENGAGE-LIMITS-Question Bank
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  2. Lim(n rarr oo) (1-1/2^(2))(1-1/3^(2))(1-1/4^(2))…(1-1/n^(2)) equals

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  5. If Lim(x rarr0) ((a sin x + b tan x)/x^(3))= 3/2 then |a+2b| is equal ...

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  6. lim(x rarr 0)(1/(1+n^(2))+2/(1+n^(2))+3/(1+n^(2))+....+n/(1+n^(2))) is...

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  7. Find the value of lim(n rarr oo)sum(k=1)^(n)(k^(2)+k-1)/((k+1)!) .

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  8. If Lim(x rarr 0)(1-cos(1-cos(1-cosx)))/x^(a) is finite then teh maximu...

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  9. The value of Lim(x rarr 0)((tanx)^(1/x)+(1+sinx)^(x)) where x gt0 is e...

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  10. Let f(x) be a differentiable function satisfying f(x+y) = f(x)+f(y) A...

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  11. Let lim(x rarr0) ((8^(x)-2^(x)-4^(x)+1)(128^(x)-16^(x)-8^(x)+1))/x^(4)...

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  12. For n in N, let a(n) = sum(k=1)^(n) 2kand b(n) = sum(k=1)^(n)(2k-1). T...

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  13. If Lim(x rarr 0) (a sinx + bxe^(x)+3x^(2))/(sin x-2x+tanx) exists and ...

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  14. If Lim(x rarr a) (sqrt(x-b)-sqrt(a-b))/(x^(2)-a^(2))(a gt b) = 1/64 an...

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  15. Value of lim(x rarr 0) (sin(2pi secx))/x^(2) is

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  16. If lim(x rarr 0) (k+cos lx)/x^(2) exists and has the value equal to -4...

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  17. Lim(x rarr 0)((3sin x- sin 3x)^(4))/((sec x - cosx)^(6)) is equal to

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  18. Lim(x rarr 0)(tanx sqrt (tanx)-sin x sqrt(sinx))/(x^(3).sqrtx) equals

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  19. Lim(x rarr 1)(sin^(2)(x^(3)+x^(2)+x-3))/(1-cos(x^(2)-4x+3)) has the va...

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  20. Let f(x) = (In (x^(2)+e^(x)))/(In(x^(4)+e^(2x))), then value o fLim(x ...

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