Consider the initial value problem $$\dfrac{dy}{dx} = y,y(0) =1$$ Approximate $y(1)$ using Euler's method with a step size of $\dfrac{1}{n}$, where $n$ is an arbitrary natural number. Use this approximation to write Euler's number $e$ as a limit of an expression in $n$. How large do you have to choose $n$ in order to approximate $e$ up to an error of at most 0.1? Comment on the quality of approximate in this example.

What I did is the following:

$y(1) \approx y\_1 = y\_0 +hf(x\_0,y\_0) = 1+hf(0,1) = 1+\dfrac{1}{n}$ 

This is where I stuck, am I on the right direction? What should I do next?