Prove the following comparison theorems for real functions f and g, and a R. a) If

Prove the following comparison theorems for real functions f and g, and a ˆŠ R.
a) If f(JC) > g(x) and g(x) †’ ˆž as x †’ a, then f(x) †’ ˆž as x †’ a.
b) If f(x)

then g(x) †’ L as †’ ˆž .

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L:= lim f(x) = lim h(x).