Limit solving without using series

Thread starter Mark J.
Start date Feb 14, 2013
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Limit Series

In summary, a limit is a mathematical concept used to describe the behavior of a function as its input approaches a certain value. It can be solved without using series by utilizing techniques such as algebraic manipulation, substitution, and taking the limit of simpler functions. The advantages of solving limits without using series include a simpler and more intuitive approach, as well as a deeper understanding of calculus principles. Common techniques for solving limits without using series include factoring, rationalization, L'Hopital's rule, and trigonometric identities. While all limits can be solved without using series, in some cases, series may be a more efficient or precise method.

Feb 14, 2013

Mark J.

Any way to solve the following limit without using series:

lim (3^x (3*(x^2)+2) / (7+x)! when x->infinity

Regards

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Feb 14, 2013

jfgobin

You could start with Stirling's[/PLAIN] approximation.

Last edited by a moderator: May 6, 2017

Feb 14, 2013

johnqwertyful

You can easily squeeze that. 3*x^2+2<=3^x from some point on.

1. What is the definition of a limit?

A limit is a mathematical concept that describes the behavior of a function as its input approaches a certain value or point. It is a fundamental concept in calculus and is used to calculate the slope of a curve at a specific point.

2. How can a limit be solved without using series?

A limit can be solved without using series by using algebraic manipulation, substitution, and taking the limit of simpler functions.

3. What are the advantages of solving limits without using series?

Solving limits without using series allows for a more straightforward and intuitive approach to solving problems. It also helps to build a stronger understanding of the underlying concepts and principles of calculus.