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Compute a limit

How-to 6 steps, run in order in one session. Every step was executed against the engine and the output below is what it produced.

Step 1
Limit[(1 + 1 / n) ^ n, n -> Infinity]
Output
E
Step 2
Limit[1 / x, x -> 0]
Output
Indeterminate
Step 3
Limit[1 / x, x -> 0, Direction -> -1]
Output
Infinity
Step 4
Limit[1 / x, x -> 0, Direction -> 1]
Output
-Infinity
Step 5
Limit[x ^ n, n -> Infinity]
Output
x^Infinity
Step 6
Limit[x ^ n, n -> Infinity, Assumptions -> 0 ≤ x < 1]
Output
x^Infinity
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Functions used

Limit

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