2. Evaluate the following limits using an appropriate function and its upper or lower sums. a) lim,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. 6 (en + en + ...+e° e). Hint: Choose an appropriate function, an appropri- b) lim,- 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) lim,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. 6 (en + en + ...+e° e). Hint: Choose an appropriate function, an appropri- b) lim,- ate partition, and then use the limit of an upper upper sum as in a).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
16.2. Thanks both A and B.
![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%2F5ce75412-ca0c-4628-bf72-b662302b043d%2F1scw75_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.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
