In Example 2 we approximated the transcendental number e by using Euler’s method to solv...

In Example 2 we approximated the transcendental number e by using Euler’s method to solve the initial value problem

Show that the Euler approximation yn obtained by using the step size 1/n is given by the formula

Recall from calculus that

and hence Euler’s method converges (theoretically) to the correct value.