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Evaluate underset(ntooo)lim(1)/(1+n^(2))...

Evaluate `underset(ntooo)lim(1)/(1+n^(2))+(2)/(2+n^(2))+...+(n)/(n+n^(2)).`

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Evaluate : underset(n to oo)lim(n)/((n!)^((1)/(n)))

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Evaluate : underset(n to oo) lim[((1+1^(2)/n^(2)))(1+(2^(2))/(n^(2)))(1+(3^(2))/(n^(2)))…(1+(n^(2))/(n^(2)))]^((1)/(n))

Evaluate : underset(n to oo)lim [((2n)!)/(n!n^(n))]^((1)/(n))

Evaluate : underset(n to oo) lim[(1)/(n)+(1)/(n+1)+(1)/(n+2)+…+(1)/(4n)]

Evaluate : underset(n to oo) lim[(1)/(n)+(1)/(n+1)+(1)/(n+2)+…+(1)/(3n)]

Evaluate : underset(nrarroo)"lim"(3n^(2)-4n+6)/(n^(2)+6n-7)

Evaluate : underset(n to oo) lim[(1+(1)/(n))(1+(2)/(n))(1+(3)/(n))…(1+(n)/(n))]^((1)/(n))

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Let f:(1,2)vecR satisfies the inequality (cos(2x-4)-33)/2ltf(x)lt(x^2|...

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  2. lim(y->0)((x+y)sec(x+y)-xsecx)/y is equal to (a) secx(xtanx+1) (b) x...

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  3. Evaluate underset(ntooo)lim(1)/(1+n^(2))+(2)/(2+n^(2))+...+(n)/(n+n^(2...

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  4. If L=lim(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| ...

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  5. Suppose that f is a function such that 2x^2lt=f(x)lt=x(x^2+1) for all ...

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  6. If L=lim(xto0) (e^(-x^(2)//2)-cosx)/(x^(3)sinx), then find the value o...

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  7. If [dot] denotes the greatest integer function, then find the value of...

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  8. If lim(x->oo) f(x) exists and is finite and nonzero and if lim(x->oo)...

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  9. If 3-((x^(2))/(12))lef(x)le3+((x^(3))/(9)) in the neighborhood of x=0,...

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  10. If f(x)={{:(x-1", "xge1),(2x^(2)-2", "xlt1):},g(x)={{:(x+1", "xg...

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  11. Evaluate underset(xto0)lim{(sinx-x+(x^(3))/(6))/(x^(5))}.

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  12. underset(xtooo)limf(x)," where "(2x-3)/(x)ltf(x)lt(2x^(2)+5x)/(x^(2))A...

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  13. Evaluate underset(xto0)lim(sinx+log(1-x))/(x^(2)).

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  14. If underset(xto0)lim[1+x+(f(x))/(x)]^(1//x)=e^(3), then the value of l...

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  15. Evaluate the limits using the expansion formula of functions lim(x->0)...

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  16. The value of ("lim")(n->oo)[(n+1)^2 3-(n-1)^2 3] is

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  17. Evaluate : lim(x->2)(x^2-5x+6)/(x^2-4)

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  18. If: ("lim")(xrarr1)(1+a x+b x^2)^(c/((x-1)))=e^3, then Find the condit...

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  19. Evaluate : lim(x->1)(2/(1-x^2)+1/(x-1))

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  20. lim(x->0)((1+5x^2)/(1+3x^2))^(1//x^2)=

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