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Find the value of lim(xto0^(+)) (3(log(e...

Find the value of `lim_(xto0^(+)) (3(log_(e)x)^(2)+5log_(e)x+6)/(1+(log_(e)x)^(2)).`

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To find the limit \[ \lim_{x \to 0^+} \frac{3(\log_e x)^2 + 5\log_e x + 6}{1 + (\log_e x)^2}, \] we will analyze the behavior of the logarithmic function as \( x \) approaches \( 0 \) from the right. ...
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