You should substitute 0 for x such that:
`lim_(x->0) (sqrt(1+x) - sqrt(1-x))/x = (sqrt(1+0) - sqrt(1-0))/0`
`lim_(x->0) (sqrt(1+x) - sqrt(1-x))/x = (1-1)/0 = 0/0`
The indetermination 0/0 could be solved using l'Hospital's theorem...
This is an enormous question that can't really be answered fully in this small space. But a few generalizations can be made. Bo...
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