Use an appropriate formal definition to give a formal proof of each of the following.
(a) lim (x^{3}− 5x+6) = 2
x→1
(b) lim 9-4x^{2 }_{= 6}
x→ −1.5 3+2x
(c) lim 1 _{= ∞}
x→ −3 (x+3)^{4}
(d) lim lnx = - ∞
x→0^{+}
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