(solution) Select y = cos(x) + 2 sin(3x)in "The Limit of a Function" from

(solution) Select y = cos(x) + 2 sin(3x)in "The Limit of a Function" from

Select y = cos(x) + 2 sin(3x)in “The Limit of a Function” from the pull-down menu. Estimate to the nearest hundredth the value of the limit. L = lim x? 0.5 (cos(x) + 2 sin(3x))

L = 1

How large can ? be so that |x? 0.5| < ?guarantees that |cos(x) + 2 sin(3x) ?L| < 0.5?

2

What about for |cos(x) + 2 sin(3x) ?L| < 0.02?