Let f(x) = x2 sin(1/x).(a) Are the limits limx0+ f(x) and limx0 f(x)
Chapter 3, Problem 67(choose chapter or problem)
Let \(f(x)=x^{2} \sin (1 / x)\).
(a) Are the limits \(\lim _{x \rightarrow 0^{+}} f(x)\) and \(\lim _{x \rightarrow 0^{-}} f(x)\) indeterminate forms?
(b) Use a graphing utility to generate the graph of f, and use the graph to make conjectures about the limits in part
(c) Use the Squeezing Theorem to confirm that your conjectures in part (b) are correct.
Equation Transcription:
Text Transcription:
f(x)x^2 sin(1/x)
lim _x right arrow 0^+ f(x)
lim _x right arrow 0^- f(x)
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