Ononot — Consider the sequence defined by an = \int0^1 x^n e^x \, dx.

Guest Session: 1 Question Remaining. Create Account to save progress.

Geometric Sequenceshard

0:00.0

Consider the sequence defined by $a_n = \int_0^1 x^n e^x \, dx$ . Is this a geometric sequence, and what is its behavior as $n \to \infty$ ?