A limit is a point or a value that is as close to the desired value as possible of a sequence, function, or sum of a series that can be made to approach progressively.

What is the Limit Of Sequence?

A limit is a point or a value that is as close to the desired value as possible of a sequence, function, or sum of a series that can be made to approach progressively. Those sequences that follow this pattern are termed as ‘Convergent’ whereas those that do not follow this pattern are termed as ‘Divergent’.

If you are interested in knowing the concept of Sequences, then stay on this page. Also, visit sequencecalculators.com to find several calculators as well as get the lengthy manual solutions to solve the Sequences very quickly.

How to Find the Limit of a Sequence?

Evaluating a Limit means finding an answer, or final value. So, there are a few different methods to evaluate the sequence limits.

1. Substitution

Here, you just put in the value. & calculate the answer.

2. Factoring

Here, simplify the numerator & denominator & calculate the answer.

3. Conjugation

Here, you have to multiply numerator & denominator by conjugate to simplify the equation & calculate the answer.

4. Rational functions.

Here, the function is the ratio of two polynomials & the limit value is zero or infinity. By finding the degree of a function, we can calculate the answer.

5. L’Hospital’s Rule

Here, using this rule, we can calculate answers to the functions which are giving indeterminate answers by other methods.

6. Formal Method

Here, we can calculate the answer by making or assuming variable x closer to some value (let’s say a).

Solved Example of Finding the Sequence Limits with Steps

Example: Determine the limit of the given Sequence.

Solution:

Solving the given sequence,

So, the limit of the given sequence is 11/12.