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The limit of case 2
We have two rather algebraically differently looking solutions, an exponential but as r1 → r2 the limit of the second case ought to be the first case. Before you read any further, why not try to figure it out yourself?
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Ok, back again. Let us have a look at
Now let us do the substitution
That means that
and thus that
But we know that
and thus that
I.e. the solution we found in case 1.

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