2. Evaluate the following limits using an appropriate function and its upper or lower sums. a) limn+00 (sin + sin 2 + ...+ sin ). Hint: Use the function f(x) = sin(rx), and an appropriate partition of the interval [0, 1], then imitate the proof in the notes/video. 3n b) limn0 n + (en +en + . .+e). Hint: Choose an appropriate function, an appropri- ate partition, and then use the limit of an upper upper sum as in a).
2. Evaluate the following limits using an appropriate function and its upper or lower sums. a) limn+00 (sin + sin 2 + ...+ sin ). Hint: Use the function f(x) = sin(rx), and an appropriate partition of the interval [0, 1], then imitate the proof in the notes/video. 3n b) limn0 n + (en +en + . .+e). Hint: Choose an appropriate function, an appropri- ate partition, and then use the limit of an upper upper sum as in a).
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
Related questions
Question
16.2. Thanks.
![2. Evaluate the following limits using an appropriate function and its upper or lower sums.
a) limn+0; (sin + sin 2 + ...+ sin ). Hint: Use the function f(x) = sin(rx), and
an appropriate partition of the interval [0, 1], then imitate the proof in the notes/video.
b) lim,00 (en + en +...+ en). Hint: Choose an appropriate function, an appropri-
ate partition, and then use the limit of an upper upper sum as in a).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbb66fa7-7c22-4982-a22f-aaed542f65b3%2F4e3876bc-bcac-4dca-9e2a-9f85a3bb56bb%2Fa97z7ha_processed.png&w=3840&q=75)
Transcribed Image Text:2. Evaluate the following limits using an appropriate function and its upper or lower sums.
a) limn+0; (sin + sin 2 + ...+ sin ). Hint: Use the function f(x) = sin(rx), and
an appropriate partition of the interval [0, 1], then imitate the proof in the notes/video.
b) lim,00 (en + en +...+ en). Hint: Choose an appropriate function, an appropri-
ate partition, and then use the limit of an upper upper sum as in a).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you