a)
b)
1/(x - 1) - 2 / (x^2 - 1) = (x + 1)/[( x -1)(x + 1)] - 2 / [(x -1)(x + 1)] =
= ( x - 1) / [ (x -1)(x + 1)] = 1 / (x + 1)
zatem
lim [ 1/ (x + 1) ] = 1/2
x -> 1
============================
lim ( x + 13)/(16 - x^2) = - oo
x -> 4+
===============================
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a)
1/(x - 1) - 2 / (x^2 - 1) = (x + 1)/[( x -1)(x + 1)] - 2 / [(x -1)(x + 1)] =
= ( x - 1) / [ (x -1)(x + 1)] = 1 / (x + 1)
zatem
lim [ 1/ (x + 1) ] = 1/2
x -> 1
============================
b)
lim ( x + 13)/(16 - x^2) = - oo
x -> 4+
===============================