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anonymous
 one year ago
Find lim f(x)
x>2
anonymous
 one year ago
Find lim f(x) x>2

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you remember what the definition of a limit is?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x)\left\{ e^x, x \le2 \right\}\left\{ xe^2, x>2 \right\}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the value a graph approaches from both sides.

freckles
 one year ago
Best ResponseYou've already chosen the best response.1You must evaluate left and right limit.

freckles
 one year ago
Best ResponseYou've already chosen the best response.1Compare both right and left. If they are both equal to L, then the actual limit is L. If they aren't both equal to L, then the limit doesn't exist.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so how do you figure out what e^x equals

freckles
 one year ago
Best ResponseYou've already chosen the best response.1as x approaches 2... well e^x exists and is continuous at x=2 just use direct substitution

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The options are 1, e, e^2, 2e^2, and non existent

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i'm not supposed to use a calculator

freckles
 one year ago
Best ResponseYou've already chosen the best response.1I didn't say use a calculator

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so how do you solve e^2 without a calculator

freckles
 one year ago
Best ResponseYou've already chosen the best response.1I said to evaluate both left and right limits.. you don't .... it is just e^2 for the left limit \[\lim_{x \rightarrow 2^}f(x)=\lim_{x \rightarrow 2^}e^x =\lim_{x \rightarrow 2}e^x=e^2 \\ \text{ now also find } \lim_{x \rightarrow 2^+}f(x)=\lim_{x \rightarrow 2^+} x e^{2}=\lim_{x \rightarrow 2} xe^{2}=?\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1again just use direct substitution since the function xe^2 is defined and continuous at x=2

freckles
 one year ago
Best ResponseYou've already chosen the best response.1I could just say continuous since continuous includes that is defined so xe^2 is continuous at x=2 so you can just use direct sub

freckles
 one year ago
Best ResponseYou've already chosen the best response.1@Reid448 are you still there?:

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sorry study hall ended and i had to drive home from school. so the answer is lim f(x) = undefined x>2

freckles
 one year ago
Best ResponseYou've already chosen the best response.1the limit does not exist since left did not equal right that is we know e^2 is not the same as 2*e^2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok that makes sense. thx for the help
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