Thursday, October 12, 2017

calculus - Limit of: limxrightarrowinftyleft(fracx+2x+1right)x/2

Without the use of L'hospitals rule, solve the following:
lim




I'm trying to apply the limit that says \lim_{x\rightarrow\pm\infty} \left(1+\frac{1}{x}\right)^x = e



However, I'm confused as the exponent is now x/2 and x is approaching positive infinity in the limit, and not \pm\infty. Also there's the rational.



Thank you in advance

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