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CHHAYA PUBLICATION-LIMIT-EXERCISE (Long Answer Type Questions)
- Prove that lim(x rarr oo) (ae^(x)+be^(-x))/(ce^(x)+de^(-x))=(a)/(c)[2l...
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- Prove that lim(x to 00)(ae^(x)+be^(-x))/(ce^(x)+de^(-x))=(b)/(d)[2ltel...
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- Prove that lim(x rarr 1) (4^(x)-4)/(x-1)=8log2
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- Prove that lim(x rarr 2) log(2x-3)/(2(x-2))=1
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- prove that lim(x rarr 0) (1+2x)^(1/x)=e^(2)
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- Prove that lim(xto0)(1+3x)^(3/x)=e^(9)
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- If lim(x to 0)x^((1)/(1-x))=e^(-1)
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- lim(x to 0)(1+4x)^((x+2)/(x))=e^(8)
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