The Elder Scrolls V: Skyrim Tips

Level Caps Information
When improving your Skills, heed the following advice:

In general, it's better to increase your Skills and level up naturally, rather than trying to find ways to exploit the game. In fact, it may make your adventure harder, since you'll lack the gear and tactics needed to survive higher-level combat.

There is no fixed "maximum level" (i.e., Level 50) for you to attain. However, if you were to raise all of your Skills to 100, this would - eventually - take you to around Level 80. As you're only able to choose one perk each time you level up, and there are well over 200 Skill-based perks, don't fixate on obtaining every single one, as that's impossible. Instead, focus on improving the Skills you're most interested in, and ignore perks you won't take advantage of, even if they're in a Skill you use constantly.