Q: Let for all . (a) If , show that . (b) If , show that . Do I just note that is less than so it must also be less than epsilon for part (a)?
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Originally Posted by Danneedshelp Q: Let for all . (a) If , show that . (b) If , show that . Do I just note that is less than so it must also be less than epsilon for part (a)? a) Yes you do. Since . (This is the Squeeze Theorem.) b.) You want to prove that such that . Since , you know that . (Recall that is a constant.) Thus, for sufficiently large , So therefore .
Scuse me when we have that .
Originally Posted by Matt Westwood Scuse me when we have that . Right. Slipped my mind. [tex]\exists~N[/tex] such that and I think the rest of a) should follow.
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