Question about mars polar caps I want to see Mars polar caps by myself. Is it feasible to make a picture of mars like this at home or to achive this very expensive telescope is required?

P.S. Maybe someone can give me a link, where it is shown how polar caps are changing during the seasons? Many pictures or animation.
Regarding the original picture from the question

No, it is not feasible to get a picture like this. According to this webpage the photograph you posted was taken with the Hubble Space Telescope's Wide-Field Planetary Camera 2.

The telescope itself has a 2.4 m (7.9 ft) mirror and the focal length of 57.6 m (189 ft) and is placed outside the Earth's atmosphere. You'd need a large instrument with adaptive optics to get near this quality (assuming you can't afford to place a telescope in orbit).

That said, it is possible for you to capture the polar ice caps on Mars using an amateur telescope. The quality of these will largely depend on the equipment you have and the location (atmospheric turbulence is very unforgiving if you use large magnifications) as well as the imaging technique.

Here's a gallery of planet pictures taken by amateurs. You can find some photos of Mars in which the polar caps are visible.

Regarding the Mars pictures you found on the Sky &amp; Telescope website

To answer your questions about this image, I see no reason to think it wasn't taken with an 8" telescope. However, there must have been more to it than just snapping a picture.

According to the author, the photographs were taken using a Celestron 8" SCT telescope with a Meade 3x Telextender and Expanse 120 Camera.

We're talking about a focal length of 2000 mm with 3x extender, which gives us 6000 mm. Not bad.

The Expanse 120 is a CCD camera. Now, I'm not sure that's the case with these specific pictures but one way to reduce the impact of atmospheric turbulence is to record a video of a planet and stack the individual frames. Many of them will look very bad due to turbulence but occasionally, you'll get a better quality image. Selecting the best frames from a video and combining them into a single image can help you get a lot more detail.

Have a look at this guide explaining how consumer-grade computer webcams can be used. It contains a neat comparison of a single frame and a stacked image.

Please note that I'm merely speculating as to which techiniques could be used to obtain such images. I can see that the author posted their email on the S&amp;T site and that there's a comments section as well. Feel free to ask them yourself.