Magic in Skyrim is one of the most diverse parts of the game. There are five primary schools of magic, each with its own theme and abilities. While Destruction spells allow you to harness the power of the elements and Conjuration spells grant you the ability to summon Atronachs and Daedra from Oblivion, Alteration is a mixed bag with lots of interesting effects.
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Paralyze is one of the strongest Alteration spell effects in Skyrim, so it's worth trying to get your hands on the spellbook. Once you can cast Paralyze on your enemies, each battle will become a lot quicker.
Paralyze is an expert-level Alteration spell that you can cast for a hefty 450 magicka at base cost. The spell paralyzes any enemy it hits for ten seconds, with only a few exceptions, so it's very powerful in most combat situations. After learning it with a spellbook, you can equip the Paralyze spell and use it whenever you wish.
There are three potential ways to learn the Paralyze spell.
Tolfdir is one of the mages at the College Of Winterhold, and he can sell you all sorts of useful spells. Once you reach level 70 in the Alteration skill, Tolfdir will start selling the Paralyze spellbook in his shop.
This is the most reliable way to get the spell, as it does not rely on chance.
Getting to level 70 in Alteration is quite a task, but you can easily achieve it by casting Alteration spells near enemies during combat. The Detect Life spell is a particularly good option since you can use it near friendly NPCs in cities such as Solitude. You can learn the Detect Life spell in the first chamber of Labyrinthian.
Chests throughout Skyrim can contain many useful items, including spellbooks that you can use to learn
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