?In Exercises 1 and 2, use Example 1 as a model to evaluate the limit \(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f\left(c_{i}\right) \Delta

Chapter 5, Problem 2

(choose chapter or problem)

In Exercises 1 and 2, use Example 1 as a model to evaluate the limit

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f\left(c_{i}\right) \Delta x_{i}\)

over the region bounded by the graphs of the equations.

\(f(x)=\sqrt[3]{x}, \quad y=0, \quad x=0, \quad x=1\)

\(\left(\text { Hint }: \text { Let } c_{i}=\frac{i^{3}}{n^{3}} .\right)\)

Text Transcription:

\lim _n \rightarrow \infty \sum_i=1^n f(c_i) \Delta x_i

f(x)=\sqrt[3]{x}, \quad y=0, \quad x=0, \quad x=1

( Hint : Let c_i=\frac 3 i^2 n^2)

( Hint :Let  c_i=\frac i^3 n^3)