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anonymous
 one year ago
Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x.
Someone help??
anonymous
 one year ago
Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x. Someone help??

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phi
 one year ago
Best ResponseYou've already chosen the best response.1Find the limit as x approaches 2 from the left. that means put your finger to the left of 2 (say at x=1) and let x get closer and closer to 2 (but *never* reach it) what is the y value?

phi
 one year ago
Best ResponseYou've already chosen the best response.1what is the y value at x=1?

phi
 one year ago
Best ResponseYou've already chosen the best response.1and y stays 4 as you move towards x=2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok so would my answers be: As x approaches 2 from the left, the yvalue is 4 As x approaches 2 from the right, the yvalue is 4 ? @phi

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes. The idea (of a limit) is we never let x get to 2, and look at what y is doing as we move *very* close to x=2, y stays 4, and we say the limit is 4 (from the left) and ditto for the right , except y is 4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh ok! So should I say the yvalue is or the limit is?

phi
 one year ago
Best ResponseYou've already chosen the best response.1the limit. the actual y value at x=2 is y= 1 (based on the graph) but the limit is something different.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh ok! Thanks so much!

phi
 one year ago
Best ResponseYou've already chosen the best response.1you might wonder why we have such a strange idea as limit, but it turns out to be useful.
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