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Evaluate the limits, if existlim(x-gt0)(...

Evaluate the limits, if exist`lim_(x-gt0)(log_e(1+2x))/(x)`

Text Solution

Verified by Experts

The correct Answer is:
2
`lim_(x rarr 0)(log_e(1+2x))/(x)`
`=lim_(x rarr 0)(1/(1+2x) xx 2)/(1)`
`=lim_(x rarr 0)(2/(1+2x))`
`=2/(1+2 xx 0)`
`=2`
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