Fixed limit(x**n, x, -oo) Giving -oo As Answer Irrespective Of Odd/Even n

[faze-geek]

References to other Issues or PRs

Fixes #8634
Closes #22712

Brief description of what is fixed or changed

Returns output dependent on 'n' (hence varies when n is odd/even) instead of -oo.

P.S. - This is a reproduction of #22712 which has already been reviewed to be correct by a couple of maintainers of the series module. It was contributed before the mailmap was introduced hence I am repeating it as suggested here .

On master -

>>> n = Symbol('n', integer=True, positive=True)  # could be 2 or 3...
>>> limit(x**n, x, -oo)
-oo

On branch -

>>> limit(x**n, x, -oo)
oo*sign((-1)**n)

Other comments

Release Notes

• series
  • Fixes limit at negative infinity considering odd or even power.

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• series
  • Fixes limit at negative infinity considering odd or even power. (#24458 by @faze-geek)

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#### References to other Issues or PRs
<!-- If this pull request fixes an issue, write "Fixes #NNNN" in that exact
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Fixes #8634
Closes #22712 

#### Brief description of what is fixed or changed
Returns output dependent on 'n' (hence varies when n is odd/even) instead of -oo. 

P.S. - This is a reproduction of #22712 which has already been reviewed to be correct by a couple of maintainers of the `series` module. It was contributed before the mailmap was introduced hence I am repeating it as suggested [here](https://github.com/sympy/sympy/pull/22712#discussion_r922663308) .

On master - 
```
>>> n = Symbol('n', integer=True, positive=True)  # could be 2 or 3...
>>> limit(x**n, x, -oo)
-oo
```

On branch -
```
>>> limit(x**n, x, -oo)
oo*sign((-1)**n)
```
#### Other comments


#### Release Notes

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  * Added a new solver for logarithmic equations.

* functions
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<!-- BEGIN RELEASE NOTES -->
* series
  * Fixes limit at negative infinity considering odd or even power.
<!-- END RELEASE NOTES -->

Update

The release notes on the wiki have been updated.

[github-actions]

Benchmark results from GitHub Actions

Lower numbers are good, higher numbers are bad. A ratio less than 1
means a speed up and greater than 1 means a slowdown. Green lines
beginning with + are slowdowns (the PR is slower then master or
master is slower than the previous release). Red lines beginning
with - are speedups.

Significantly changed benchmark results (PR vs master)

Significantly changed benchmark results (master vs previous release)

       before           after         ratio
     [41d90958]       [40b1af74]
     <sympy-1.11.1^0>                 
-      3.27±0.1ms      1.39±0.04ms     0.42  solve.TimeSparseSystem.time_linear_eq_to_matrix(20)
-      6.63±0.2ms       2.11±0.1ms     0.32  solve.TimeSparseSystem.time_linear_eq_to_matrix(30)

Full benchmark results can be found as artifacts in GitHub Actions
(click on checks at the top of the PR).