1: For a > 0
we get
a⋅∞ = ∞.
The limit becomes an indeterminate ratio, we handle it using l'Hospital's
rule.
For a < 0
we get
a⋅∞ = −∞.
The exponential then becomes zero and the limit can be evaluated directly.
For a = 0, the given limit is actually
![](gif7/ecb7pa2.gif)
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