Question

Evaluate both the upper and lower limit of f(x) = 2x over [0,2] for n = 10,100,1000

Answer 1

We can solve both limits by using Riemann sums, which is represented by the following:

`\lim _(n\to a)\sum ^n_(i=1)f(x_(i-1))\Delta x,\text{ where }\Delta x=(b-a)/(n)`

Then, for our function: