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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- The function f(x) = |x| + |x-1| is
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- The value of k which makes the function defined by : f(x) = {{:("sin...
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- If f(x) = 2x and g(x) = x^(2)/2 +1, then which of the following can be...
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- The function f(x) = (4-x^(2))/(4x-x^(2)) is
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- The function f(x) = cot x discontinuous on the set
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- If f(x) = x^(2) "sin" (1)/(x), where x ne 0, then the value of the fun...
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- 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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