Question

Consider the limit:
lim_{i rightarrow 1}sum_{i=1}^{n}3(1+4i divn)(4 divn)
(a)Evaluate the limit
(b) Does the limit define an integral?

Answer 1

draw it

Answer 2

draw?

Answer 3

I assume you mean

\[\lim_{n\to\infty}\sum_{i=1}^{n}3\left(1+\frac{4i}{n}\right)\frac{4}{n}\]

Answer 4

\[3\sum_{i=1}^{n}(16i divn ^{2})\]