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Wolfram Language Fast Introduction for Math Students
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Limits

Calculate the limiting value of an expression:

(Type -> for the symbol.)
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Limit[(x^3 - 1)/(x - 1), x -> 1]
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Find the limit at Infinity:

(Type ESCinfESC for the ∞ symbol.)
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Limit[(2 x^3 - 1)/(5 x^3 + x - 1), x -> \[Infinity]]
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You can also specify the limit’s Direction.

A setting of 1 approaches the limit from the left:

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Limit[1/x, x -> 0, Direction -> 1]
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A setting of −1 approaches the limit from the right:

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Limit[1/x, x -> 0, Direction -> -1]
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Use HoldForm to leave the expression unevaluated:

(TraditionalForm uses classic mathematical typesetting.)
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TraditionalForm[HoldForm[Limit[1/x, x -> Infinity]]]
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