iv arcade site and over last few weeks i noticed visited from google every few days i don't know why
im little confused may be something is wrong with my site or i did something wrong i mean is this normal google visit a website before they ban it or something ?

it's normal

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And how can we win, when fools can be kings

One of the important reasons for seeing Googlebot less frequently visiting a website may be lack of links to that site or that no new content pages have been added in a rather long time. The solutions can be adding some new fresh pages to your site and also establishing new links.

your are lucky , i wish they visit my site that often

Links, links and more links. That and constantly updating your content will help.

It could also mean that your backlinks are being crawled often. Its a good sign and you should not worry about it. Unless you have reasons to be weary about it.

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PR4 Link Directory

That's a good thing for your site. It's like an indication that googlebots sees an update on your links or on your page

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Internet Marketing Australia
Study in New Zealand

Its good that they are crawling your site frequently. It means that it knows you update your content often so it has scheduled bot visits for your site.