Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

TenaciousT

  • 3 years ago

could someone help me to find the sum of the series from zero to infinity (3^n/(5^n)n!)

  • This Question is Closed
  1. snadig
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    If I understand your question correctly, you would like to know what is:\[\sum_{n=0}^{\infty} \frac{ 3^n }{ 5^n \times n! }\] If this is the case, then, the equation can be written as: \[\sum_{n=0}^{\infty} \frac{ (\frac{3}{5})^n }{n! }\] The Taylor series of e^x is: \[e^x = \sum_{n=0}^{\infty} \frac{x^n}{n!}\] Comparing the two equations, the answer would be e^(3/5) = 1.8221. Hope it helps!

  2. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy