c) Graph y1= 1/x*sin(x) for 0< x < 10 and -2 < y 2. Is it true that for x > 0, -1/x < 1/x*sin(x) < 1/x? Prove your answer.

d) Graph f(x) = 1/x*sin(x) for -2 < x < 2 and -2 < y < 2. What is f(0)? Is it true for all x in the interval [-0.1, 0.1] for which f(x) is defined, f(x) satisfied 0.99 < f(x) < 1? Explain.

for

As long as , you can multiply out by x:

This is false, but the following is true:

Did you mean this?