Question

Consider the inner product space l 2 (0, 2π). let k and m be integers. then compute e ik

Answer 1

To compute e^ik in the inner product space l^2(0, 2π), where k is an integer, substitute k into the formula: e^ik = cos(k) + i sin(k).

Step-by-step explanation:

The question asks to compute eik in the inner product space l2(0, 2π), where k is an integer. In this case, eik refers to the complex exponential function. The complex exponential function can be written as eik = cos(k) + i sin(k), where i is the imaginary unit. So, to compute eik, we substitute k into the formula: eik = cos(k) + i sin(k).