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compute Lt(x to oo) sqrt((x- sin x)/(x+c...

compute `Lt_(x to oo) sqrt((x- sin x)/(x+cos x))`

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AAKASH SERIES-LIMITS-SOLVED EXAMPLES
  1. Evaluate Lt(x to 0)((1)/(x^(2))-cot x)

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  2. Evaluate Lt(x to oo) ( sqrt(x^(2)+ax+b)-x)

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  3. compute Lt(x to oo) sqrt((x- sin x)/(x+cos x))

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  4. Using definition, Show that Lt(x to oo)(1)/(x^(2))=0

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  5. Using definition, show that Lt(x to oo)e^(x)=oo

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  6. underset(n to oo)lim (1^(2)+2^(2)+3^(2)+...+n^(2))/(n^(3))=

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  7. Show that Lt(xto0)(e^(ax)-1)/x=a(ainR)

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  8. Prove that Lt(x to 0) (a^(kx)-1)/(x)=k. log a (a gt theta, a ne 1)

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  9. Show that Lt(xto0)(a^(x)-1)/(b^(x)-1)=log(b)a where a and b are positi...

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  10. Evulate Lt(x to 0)(27^(x)-9^(x)-3^(x)+1)/(x^(2))

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  11. Evaluate Lt(xto0)((e^(x^(2))-cosx)/x^(2)).

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  12. underset(n to oo)lim (n(1^(3)+2^(3)+...+n^(3))^(2))/((1^(2)+2^(2)+...+...

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  13. underset(n to oo)lim {(1)/(1.4)+(1)/(4.7)+(1)/(7.10)+....+(1)/((3n-2)(...

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  14. Show that Lt(ntooo)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=-20/7

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  15. Lt(ntooo)((n+2)!+(n+1)!)/((n+2)!-(n+1)!)

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  16. Evaulate Lt(x to 0)(1+ax)^(b//x) where a,b are constants.

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  17. Evaluate Lt(xtooo)(1+1/(ax+b))^(cx+d) where a, b, c, d are positive co...

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  18. Find Lt(x to 0)((sinx)/(x))^((sinx)/(x-sinx))

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  19. Find Lt(xtooo)((x+a)/(x+b))^(x), a, b are constants.

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  20. Evaluate Lt(xtooo)((x^(2)+ax+b)/(x^(2)+cx+d))^(x) where a, b, c, d are...

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