Let alpha, beta in R such that lim(x ->...

Let `alpha, beta in R` such that `lim_(x ->0) (x^2sin(betax))/(alphax-sinx)=1` . Then `6(alpha + beta)` equals

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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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If y=(sqrt(x) + 1/sqrt(x))^2 .Find dy/(dx)
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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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underset(xto(pi)/(2))lim(cotx-cosx)/((pi-2x)^(3)) equals
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Let p=underset(xto0^(+))lim(1+tan^(2)sqrt(x))^((1)/(2x)). Then log(e)p...
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lim(n -> oo) (((n+1)(n+2)(n+3).......2n) / n^(2n))^(1/n)is equal to
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underset(xto0)lim(sin(picos^(2)x))/(x^(2)) is equal to
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lim(xto0)((1-cos2x)(3+cosx))/(x tan 4x) is equal to
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If underset(xtooo)lim((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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The value of lim(x->0)((sinx)^(1/x)+(1/x)^(sinx)) , where x >0, is (a)...
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lim(h->0) (f(2h+2+h^2)-f(2))/(f(h-h^2+1)-f(1)) given that f'(2)=6 and ...
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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")(xvec0)((cosx-1)(cosx-ehatx)/(x^n) is f...
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Let f: R->R be such that f(1)=3 and f^(prime)(1)=6. Then lim(x->0)((f...
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lim(x to oo) ((x-3)/(x+2)) is equal to :
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