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Finding Limits Algebraically
1. Limits and Continuity / Finding Limits Algebraically / Problem 7
Problem 7

Find the value of limx0 f(x){\(\displaystyle\]\lim\)_{x\(\to\)0}}\(\text{ }\)f\(\left\)(x\(\right\)) given that limx3(2x limx0f(x))=12{\(\displaystyle\]\lim\)_{x\(\to\)3}}\(\left\)(2x\(\text{ }{{\displaystyle\lim_{x\to0}\)f\(\left\)(x\(\right\))}}\(\right\))=-12.