A graphing calculator is recommended. Use the Squeeze Theorem to show that lim x cos(9x) = 0. x10 Illustrate by graphing the

Question

A graphing calculator is recommended.
Use the Squeeze Theorem to show that lim x cos(9x) = 0.
x10
Illustrate by graphing the functions f(x) = -x², g(x) = x² cos(9x), and h(x) = x² on the same screen.
Let f(x) = -x², g(x) = x² cos(9x), and h(x) = x². Then ?s cos(9x) ≤ ? ✓
=
2≤ x² cos(9x) ≤ 2 ✓
Since lim x)= lim h(x) =
X-0
X10
by the Squeeze Theorem we have lim g(x) =
110

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