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ARIHANT MATHS-LIMITS-Exercise (Questions Asked In Previous 13 Years Exam)
- Let alpha, beta in R such that lim(x ->0) (x^2sin(betax))/(alphax-sin...
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- Let m and n be two positive integers greater than 1.If lim(alpha->0) (...
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- Let f: RvecR be a continuous odd function, which vanishes exactly at o...
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- The largets value of non negative integer for which lim(x->1){(-a x+si...
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- Let L=("lim")(xvec0)(a-sqrt(a^2-x^2)-(x^2)/4)/(x^4),a > 0. IfLi sfin i...
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- The lim(xto(pi)/2)(cot x-cosx)/((pi-2x)^(3)) equals
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- Let p=lim(x->0^+)(1+tan^2 sqrt(x))^(1/(2x)) then log p is equal to
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- lim(n -> oo) (((n+1)(n+2)(n+3).......3n) / n^(2n))^(1/n)is equal to
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- lim(xto0)(sin(picos^(2)x))/(x^(2)) is equal to
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- lim(xto0)((1-cosx)(3+cosx))/(x tan 4x) is equal to
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- If lim(xtooo)((x^(2)+x+1)/(x+1)-ax-b)=4, then
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- let alpha(a) and beta(a) be the roots of the equation ((1+a)^(1/3)-1)x...
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- If ("lim")(xvec0)[1+x1n(1+b^2)]^(1/x)=2bsin^2theta,b >0,s mftheta in ...
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- For xgt0, lim(xto0) {(sinx)^(1//x)+((1)/(x))^sinx}, is
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- underset(h to 0)lim (f(2h+2+h^(2)))/(f(h-h^(2)+1)-f(1))"given that "f'...
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- lim(x->0) (sin(nx)((a-n)nx – tanx))/x^2= 0, when n is a non-zero posit...
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- The integer n for which lim(x rarr 0) ((cos x-1) ( cos x - e^x))/x^n i...
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- Let f:RtoR be such that f(1)=3 andf'(1)=6. Then lim(xto0)[(f(1+x))/(f(...
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- For x epsilonR, lim(xto oo)((x-3)/(x+2))^(x) is equal to
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