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Example of the Substitution Rule for Limits

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Explanations 1

First, let's explore the limit of a nice, continuous function, f(x)=12xf(x) = \frac{1}{2}xf(x)=21x. If we try to find the limit of a function at a point for which the function …
By Caleb Xu, Alex Federspiel

Problems 2

lim⁡x→5(56−x+x2−4x+2)=\lim_{x \to 5} (5^{6-x} + x^2 - 4x + 2) =x→5lim(56−x+x2−4x+2)=
lim⁡x→3((x2−4)(x−5)(2x))=\lim_{x \to 3}((x^2-4)(x - 5)(2^x)) =limx→3((x2−4)(x−5)(2x))=