BUG: xlim and ylim not restricting plot area
- [x] I have checked that this issue has not already been reported.

- [x] I have confirmed this bug exists on the latest version of pandas.

- [x] (optional) I have confirmed this bug exists on the master branch of pandas.

---


#### Code Sample, a copy-pastable example

```python
df = pd.read_csv(myfile) #contains 2 columns, Time in ms and Voltage in mV
xlabel = "Time in ms"
ylabel = "Volate in mV"
xlim = [0,120]
ylim = [0,8]
df.plot(x = "Time", xlabel= xlabel, ylabel=ylabel, xlim = xlim, ylim = ylim, kind="line")
plt.show()
```

#### Problem description

I am plotting a large dataset using `dataframe.plot()` in pandas. Dataset contains data in csv format. As per documentation, I specify `xlim `and `ylim` as arg in df.plot. Now the axes take the xlim and ylim values accordingly but the figure does not scale to these values and plot shows some part of of graph but not the area defined by 'xlim' and 'ylim'.

without xlim :   
  ![image](https://i.stack.imgur.com/9lOzI.png)
with xlim set :   
  ![image](https://i.stack.imgur.com/d2dAL.png)
sample files here: [samples](https://github.com/regmibijay/opencarp-analyzer/tree/main/samples)
project: [project](https://github.com/regmibijay/opencarp-analyzer)

#### Expected Output
I want to plot only the specified area. In my example image it would be the spike.


#### Output of ``pd.show_versions()``


<details>

INSTALLED VERSIONS
------------------
commit           : f2c8480af2f25efdbd803218b9d87980f416563e
python           : 3.9.2.final.0
python-bits      : 64
OS               : Linux
OS-release       : 4.4.0-19041-Microsoft
Version          : #488-Microsoft Mon Sep 01 13:43:00 PST 2020
machine          : x86_64
processor        :
byteorder        : little
LC_ALL           : None
LANG             : en_US.UTF-8
LOCALE           : en_US.UTF-8

pandas           : 1.2.3
numpy            : 1.20.2
pytz             : 2021.1
dateutil         : 2.8.1
pip              : 21.0.1
setuptools       : 52.0.0
Cython           : None
pytest           : None
hypothesis       : None
sphinx           : None
blosc            : None
feather          : None
xlsxwriter       : None
lxml.etree       : None
html5lib         : None
pymysql          : None
psycopg2         : None
jinja2           : 2.11.3
IPython          : 7.22.0
pandas_datareader: None
bs4              : 4.9.3
bottleneck       : None
fsspec           : None
fastparquet      : None
gcsfs            : None
matplotlib       : 3.4.1
numexpr          : None
odfpy            : None
openpyxl         : 3.0.7
pandas_gbq       : None
pyarrow          : None
pyxlsb           : None
s3fs             : None
scipy            : 1.6.2
sqlalchemy       : None
tables           : None
tabulate         : None
xarray           : None
xlrd             : None
xlwt             : None
numba            : None
</details>
