Find the values of x for which the series converges. (Enter your answer using interval notation.) ?_{n=0}^? ?_{n=0}^? (x - 8)^n / 2^n Find the sum of the series for those values of x.
Added by Cristina C.
Close
Step 1
The series given is: ∑ (2^n) n=0 To determine the values of x for which the series converges, we can use the ratio test: lim n→∞ |(2^(n+1))/2^n| = lim n→∞ 2 = 2 Since the limit is greater than 1, the series diverges for all values of x. Show more…
Show all steps
Your feedback will help us improve your experience
Madhur L and 76 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find the values of x so that the series below converges Give your answer in interval notation
William S.
Find the values of x for which the series converges. (Enter your answer using interval notation.) sum_{n=0}^{infinity} 3^n / x^n Find the sum of the series for those values of x.
Find all the values of x for which the given series converges. Use interval notation with exact values. The series is convergent for all x ∈
Shaiju T.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD