# What is a telescoping infinite series?

By signing up, you agree to our Terms of Service and Privacy Policy

A telescoping infinite series is a series where most of the terms cancel each other out, leaving only a finite number of terms to be summed. This cancellation typically occurs in a pattern such that consecutive terms partially or completely cancel each other, causing the series to "collapse" or "telescope" down to a finite sum. Telescoping series are often used in mathematics to simplify the computation of infinite sums.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- Is the series #\sum_(n=1)^\infty n e^(-n)# absolutely convergent, conditionally convergent or divergent?
- #X_(n+1)-aX_n+2=0# Which are the set values of "a" for the string "Xn" is descending?
- How to graph #\sum_{n=0}^\oo 2x^n#?
- How do you test the series #Sigma 2/(4n-3)# from n is #[1,oo)# for convergence?
- How do you test the improper integral #int (3x)/(x+1)^4 dx# from #[0, oo)# and evaluate if possible?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7