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If a & b are both +ve or both -ve
If a>b
b/a < 1
So transform as
n  (1-(b/a)n)/(1+(b/a)n) = 1
For a fraction raised to a large power tends to zero.
If a=b, the limit is 0
If a<b
a/b < 1
Transform as
n ((a/b)n -1)/((a/b)n +1) = -1
If a>0, b<0
If a>|b|
|b|/a < 1
So transform as
n (1-(b/a)n)/(1+(b/a)n) = 1
If a<|b|
a/|b| < 1
Transform as
n ((a/b)n -1)/((a/b)n +1) = -1
If a<0, b>0
If |a|>b
b/|a| < 1
So transform as
n (1-(b/a)n)/(1+(b/a)n) = 1
If a<|b|
a/|b| < 1
Transform as
n ((a/b)n -1)/((a/b)n +1) = -1
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Moderation Team
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