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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- If f(x) = {(mx+1 , xle pi/2),(sinx+n, x gt pi/2):} is continuous a...
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- lim(n rarr oo) (1^(2)+2^(2)+....+n^(2))/(2n^(3)+3n^(2)+4n+1 ) =
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- lim(x rarr 0) (1- cos x)/(x^(2)) is :
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- {:(" Lt"),(x rarr oo):} sqrt(x)(sqrt(x+a)-sqrt(x))=
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- lim(x rarr oo) (1+2/n)^(2n)=
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- lim(x rarr 0) (1+ax)^(b/x)=
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- lim(theta rarr 0) (1-cos theta)/(theta. costheta)=
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- lim(0 rarr pi/4) (sin theta. cos theta)/(theta-pi/4)=
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- lim(x rarr 0) (3^(x)-2^(x))/x=
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- lim(x rarr -1) (x^(9)+1)/(x^(14)-1)=
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- The value of lim(x rarr 0) ((1 + 5x^(2))/(1+3x^(2)))^(1//x^(2)) is :
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- lim(x rarr 0) (e^(x) + e^(-x) -2)/x^(2)=
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- lim(x rarr oo)(1+4/(x-1))^(x+3) =
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- lim(x rarr 0) 2/x log (1+x) =
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- lim(x rarr 1) (1-x) tan (pi/2 x) =
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- If f be a function such that f(9) = 9 and f'(9) = 3, then : lim(x ra...
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- lim(x rarr 0) (2^(x)-1)/((1+x) ^ (1/2) -1) =
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- lim(x rarr 0) (a^(sinx)-1)/(b^(sinx)-1) =
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- The value of lim(x rarr 0) ((e^(x)-1)/x)
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- If f(x) = [((sin [x])/([x]), [x] ne 0),(0, [x] = 0)], then lim(x rarr ...
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