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Pawanyadav
 one year ago
Lim{(x+x^1)e^(1÷x)x=?
Where x tending to infinity.
Pawanyadav
 one year ago
Lim{(x+x^1)e^(1÷x)x=? Where x tending to infinity.

This Question is Closed

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1\[\lim_{x\to\infty} (x+x^{1})e^{1/x}x\]?

Pawanyadav
 one year ago
Best ResponseYou've already chosen the best response.0Ya this is the question. what's the solution?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0Hint : as x approaches infinity 1/x approaches zero so e^1/x will approach 1.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1\[\lim_{x\to\infty} (x+x^{1})e^{1/x}x \\~\\= \lim_{x\to\infty} xe^{1/x}+x^{1}e^{1/x}x\\~\\ = \lim_{x\to\infty} x(e^{1/x}1)+x^{1}e^{1/x}\] Here, \(x^{1}e^{1/x}\) approaches to 0. So we are left with \[\lim_{x\to\infty} x(e^{1/x}1)\\~\\=\lim_{x\to\infty} \dfrac{e^{1/x}1}{\dfrac{1}{x}}\]From here, use L'Hopital's Rule.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1@Pawanyadav Does that help?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't think so because it's not the solution :P

Pawanyadav
 one year ago
Best ResponseYou've already chosen the best response.0The answer After solving is 1.

Pawanyadav
 one year ago
Best ResponseYou've already chosen the best response.0The answer After solving is 1.

Pawanyadav
 one year ago
Best ResponseYou've already chosen the best response.0The answer After solving is 1.

Pawanyadav
 one year ago
Best ResponseYou've already chosen the best response.0The answer After solving is 1.

Pawanyadav
 one year ago
Best ResponseYou've already chosen the best response.0The answer After solving is 1.

Pawanyadav
 one year ago
Best ResponseYou've already chosen the best response.0The answer After solving is 1.

Pawanyadav
 one year ago
Best ResponseYou've already chosen the best response.0The answer After solving is 1.

Pawanyadav
 one year ago
Best ResponseYou've already chosen the best response.0The answer After solving is 1.

Pawanyadav
 one year ago
Best ResponseYou've already chosen the best response.0The answer After solving is 1.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433801268065:dw

Pawanyadav
 one year ago
Best ResponseYou've already chosen the best response.0The answer After solving is 1.

Pawanyadav
 one year ago
Best ResponseYou've already chosen the best response.0The answer After solving is 1.

Pawanyadav
 one year ago
Best ResponseYou've already chosen the best response.0The answer After solving is 1.

Pawanyadav
 one year ago
Best ResponseYou've already chosen the best response.0The answer After solving is 1.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1@Zarkon I think something is buggy.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1I see so many replies "The answer After solving is 1."
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