Question 1If the limit exists, use the Squeeze Theorem to determine limx0[x2sin(1x)].Question 2If the limit exists, use the Squeeze Theorem to determine limx1[x4ecos(1x-1)]Hint: to build the compound inequality that allows usto apply the SqueezeTheorem, begin with the known truth -1cos(1x-1)1. Now it's your turn. Use the piecewise-defined function given below to respond to questions 1 through 5. Pleasedo not submit any other problems from the video; only submit the problems listed below. Let k(x)={3-xifx<2x22+5ifx2Question 1Evaluate limx2-k(x),if the limit exists.Question 2Evaluate limx2+k(x),if the limit exists.Question 3Evaluate limx2k(x),if the limit exists.Question 4Evaluate k(2).Question 5Evaluate limx1k(x),if the limit exists. Question 1Using graph paper, sketch a graph ofg(x)=[x]by hand. Be sure to label the axes and indicate the scale oneach axis. To respond to this question, embed a clear and easy-to-read picture of your graph (directions- opens ina new tab).Question 2Part alimx3-[x],if the limit exists.Part blimx3+[x],if the limit exists.Part climx3[x],if the limit exists.Question 4Part alimx2.4[x],if the limit exists.Part blimx-2.4[x],if the limit exists.