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Mathematics 17 Online
OpenStudy (anonymous):

Could anyone help me solve this limit lim x→∞ (1+5/x)^x

OpenStudy (anonymous):

Put x = 1/t. Let the limit is y. Now you have y = lim t ->0 (1+5t)^(1/t) Take log of both side and get log y = lim t ->0 (1/t) log(1+5t) Now apply L'Hospital rule then take antilog.

OpenStudy (anonymous):

Thank you!I'v got the answer!

OpenStudy (anonymous):

Is it e^5 ?

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