Sunday, May 14, 2017

limits - Using the Squeeze Theorem on limxto0fracsin2xx2

lim




I'm trying to evaluate this limit using Squeeze Theorem. However, looking at the graph I know it approaches 1, but I am getting 0 using the Squeeze Theorem.



-\frac{1}{x^2} < \frac{\sin^2x}{x^2} < \frac{1}{x^2}



when I sub in 0 it's just 0. What am I doing wrong?



Edit: Wait, it's not zero! The upper and lower bounds are indeterminate. So I can't use squeeze theorem, correct?

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