Question: Use a graphing calculator to answer the following questions. (a) From a graph of y = xe -x , what do you think is the

Use a graphing calculator to answer the following questions.

(a) From a graph of y = xe-x, what do you think is the value oflim xex? x-

Support this by evaluating the function for several large values of x.

(b) Repeat part (a), this time using the graph of y = x2e-x.

(c) Based on your results from parts (a) and (b), what do you think is the value of

where n is a positive integer? Support this by experimenting with other positive integers n.

lim xex? x-

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