Let f(x)=cos(x/2)*cos(x/4)*...*cos(x/2^n...

Let `f(x)=cos(x/2)cos(x/4)...*cos(x/2^n).` If `lim_(n rarr oo) f(x) = g(x)` and `lim_(x rarr 0) g(x) = k` then value of `lim_(y rarr k) [(1-y^2011)/(1-y)].`

Let f(x)=cos(x/2)*cos(x/4)*...*cos(x/2^n). If lim(n rarr oo) f(x) = g(...
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Let f(x) is a function continuous for all x in R except at x=0 such th...
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If (lim)(xvec0)(f(x))/(x^2)-aa n d(lim)(xvec0)(f(1-cosx))/(g(x)sin^2x)...
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Let f(x)=lim(n rarr oo)(cos x)/((1+tan^(-1)x)^(n)), then int(0)^(oo)f(...
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lim(x rarr0)(1)/(x^(k+1))int(0)^(x)(x^(k)+x^(k-1)y+x^(k-2)y^(2)+....+y...
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Let lim(x rarr0)(f(x))/(x)=1 and lim(x rarr0)(x(1+p cos x)-q sin x)/((...
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Statement-1:lim(x rarr0)((g(2-x^(2)))/(g(2)))^((4)/(x^(2)))=e^(-(1)/(2...
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lim(x rarr0)(sin x-2)/(cos x-1)
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f(x)=(lim)(n->oo)(t a npix^2+(x+1)^n s in x)/(x^2+(x+1)^n) , find (...
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Let `f(x)=cos(x/2)*cos(x/4)*...*cos(x/2^n).` If `lim_(n rarr oo) f(x) = g(x)` and `lim_(x rarr 0) g(x) = k` then value of `lim_(y rarr k) [(1-y^2011)/(1-y)].`