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.
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what is the y value at x=1?
and y stays 4 as you move towards x=2
Ok so would my answers be:
As x approaches 2 from the left, the y-value is 4
As x approaches 2 from the right, the y-value is -4 ?
yes. 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
Oh ok! So should I say the y-value is or the limit is?
the actual y value at x=2 is y= 1 (based on the graph)
but the limit is something different.
Oh ok! Thanks so much!
you might wonder why we have such a strange idea as limit, but it turns out to be useful.