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AAKASH SERIES-LIMITS-EXERCISE-II
- If [.] denotes the greatest integer functon, then Lt(n to oo)([1^(3)x]...
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- Let f: R to R be a positive increasing function with Lt(x to oo)(f(3x)...
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- underset(x to 1)lim (1-x) tan(pix//2)=
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- Determine Lt(x to 0)((1)/(sin^(2))x-(1)/(sin h^(2)x))(oo-oo "from")
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- Lt(x to oo) {sqrt(x^(2)-sqrt(x^(4)+1))-x sqrt(2)}=
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- underset(x to oo)"Lt"sqrt [({x-sin x})/(x+cos^(2)(x))]=
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- underset(x to oo)lim {sin sqrt(x+1)-sin sqrtx)=
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- underset(x to 0)"Lt" x^(2) sin (pi//x)=
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- Lt(x to (pi)/(2)) (sin x)^(tanx)=
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- Lt(x to 0)(e^(2x)+x)^(1//x)=
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- Lt(x to 1)(log(5)5x)^(log(x)5)=
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- Lt(x to a)((sinx)/(sina))^((1)/(x-a))=
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- Lt(x to0) ((x)/(sinx))^((cosx)/("x cosec"x-1)=
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- lim(xrarr0)[tan(x+(pi)/(4))]^(1//x) is equal to
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- Lt(x to 0)(cos((x)/(n)))^(n^(2))=
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- Lt(x to oo) ((x^(2)+x+3)/(x^(2)-x+2))^(x)=
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- Lt(x to oo) ((x+h)/(x-h))^(x)=4 then h=
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- If Lt(x to0) (1+ax)^(b//x)=e^(4), where 'a' and 'b'a re different nati...
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- If Lim(x to0) [1+x+(f(x))/(x)]^(1//x)=e^(3), then f(x) is
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- underset(x to 0)"Lt" ((1^(x)+2^(x)+3^(x)+....+n^(x))/(n))^(1//x))
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