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DISHA PUBLICATION-LIMITS AND DERIVATIVES-Exercise- 1 : Concept Builder (Topic 1)
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- lim[n->oo][5^[n+1]+3^n-2^[2n]]/[5^n+2^n+3^[2n+3]]
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- Evaluate underset (h to 0) lim ((a+h)^(2) sin (a+h) -a^(2) sin a)/h .
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- if f(x) = {{:(x+2",",xle1),(cx^(2)",",xgt-1):}, then find c when under...
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- If 3-x^(2)/(12) le f(x) le 3+x^(3)/9" for all "x ne 0, then the value ...
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- lim(xto oo) (a^nb^n)/(a^n-b^n), where 1lt b lt a , is equal to
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- The value of lim(n->oo)[1/n+(e^(1/n))/n+(e^(2/n))/n+.....+(e^((n-1)/n)...
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- If f(x)={{:(,2x+3, x le 0),(,3(x+1), x gt 0):} then the value of under...
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- Let f : R to [0,oo)" be such that "underset(x to 5)lim f(x)" exists an...
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- If a1=1a n da(n+1)=(4+3an)/(3+2an),ngeq1,a n dif("lim")(nvecoo)an=a , ...
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- Evaluate: ("lim")(xvec0) (sin[cosx])/(1+[cosx])([dot] denotes the grea...
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- lim(x-> pi/2) ([1- tan (x/2)][1-sin x])/([1+ tan(x/2)][pi - 2x]^3)
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- underset(x to 0)lim (cos ax-cos bx)/(cos cx-1) is equal to m/n, where ...
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