Evaluate:lim(h rarr 0) (e^(2h)-1)/(e^(3h...

Evaluate:`lim_(h rarr 0) (e^(2h)-1)/(e^(3h)-1)`

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The correct Answer is:

`(2)/(3)`

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CHHAYA PUBLICATION-LIMIT-EXERCISE (Short Answer Type Questions)

Evaluate: lim(x rarr 0) (e^(2x)-1)/(sin3x)
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Evaluate:lim(x to 0)(4^(x)-1)/(sin2x)
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Evaluate:lim(h rarr 0) (e^(2h)-1)/(e^(3h)-1)
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Evaluate: lim(x rarr 0)(a^(alphax)-b^(betax))/(x)
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Evaluate:lim(x to 0)(e^x+e^(-x)-2)/(x^(2))
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Prove that:lim(xto0)log(1+2x)/(sin3x)=(2)/(3)
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Prove that:lim(x rarr -2) log(x+3)/(x+2)=1
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Prove that:lim(x rarr 0)(sinlog(1+x))/(x)=1
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Prove that:lim(x rarr 0) (log(1+x)+sinx)/(e^(x)-1)=2
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Prove that:lim(x rarr 0)(logcosx)/(sin^(2)x)=-(1)/(2)
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Prove that:lim(h rarr 0) (log(x+h)-logx)/(h)=(1)/(x)
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Prove that:lim(x to0)log(1+sinx)/(x)=1
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Prove that:lim(x to 0)(sqrt(1+x)-1)/(log(1+x))=(1)/(2)
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Evaluate: lim(x rarr 0) (sinx)/(log(e)(1+x)^(1/2))
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Evaluate:lim(x rarr 0) ((e^(x)-1)log(1+x))/(sin^(2)x)
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Evaluate: lim(x rarr 0) ((e^(2)-1)log(1+x))/(sinx)
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