Make a piecewise-defined function f(x), one piece defined for x<2 and the other piece defined for x2, satisfying following criteria. using first letter of your name, (B) Make a function of the type for that letter (listed below) for the region x<2. Using the first letter of your last name, (M) Make a function of the type for that letter (listed below) for the region x2.

ABC: natural logarithmic function

LMN: trigonometric function

Find the limit from the left, the limit from the right, and the (two-sided) limit as x approaches 2. For each of the three limits, use appropriate limit notation and state whether you used a numerical or analytical approach to find that limit