limits-need help

lev888

Elite Member
Joined
Jan 16, 2018
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2,528
If x^3 <= f(x) <= x for x in [-1,1], find limit as x approaches 0 of f(x) if it exists.
1. Read posting guidelines.
2. Graph the functions. What do you think is the limit?
3. Prove that the limit is what you think it is. I would use proof by contradiction (any other limit would contradict the definition of limit).
 

HallsofIvy

Elite Member
Joined
Jan 27, 2012
Messages
7,770
What does "x go to" as x goes to 0? (That should be obvious!)
What does "[math]x^2[/math] go to" as x goes to 0? (Almost as obvious.)

And f(x) is "trapped" between them.
 
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