Name: Homework 4 Your TA: You may use notes and consult resources such as Office Hours and the MLC. However, the work you upload to gradescope should reflect your own understanding. Answers not supported by work will not receive full credit. 4. (a) Compute the following limit, citing and justifying any theorems you use. (6 points) lim (x + 3) cos ( 1+ 3) 2 ) + 2 (b) Sketch a rough graph that illustrates the above calculation, labeling all relevant functions (2 points)3. Show that 3 cos (7x) - x =1 has at least one solution. Cite any theorems you use and verify that they apply. (6 points)