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Findlim(xto0)((2+x)^5-2^5)/x...

Find`lim_(xto0)((2+x)^5-2^5)/x`

Text Solution

Verified by Experts

The correct Answer is:
Put `2+x=y` so that as `yto2` as `xto0`.
Therefore`lim_(xto0)((2+x)^5-2^5)/x=lim_(yto2)(y^5-2^5)/(y-2)=5(2^4)=80`
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