Question

4. Let \(f\) and \(g\) be the following functions: \(f(x) = \frac{x^2 - 4}{x^2 - 8x + 12}\) \(g(x) = \frac{x^2 + 10x + 25}{4x + 20}\) Without graphing, evaluate each limit. You are welcome to provide a graph for confirmation but the limit must be found algebraically (2 points each): a) \(\lim_{x \to -5} g(x)\) b) \(\lim_{x \to 2} f(x)\) c) \(\lim_{x \to 6} f(x)\) d) \(\lim_{x \to 0} g(x)\)

          4. Let \(f\) and \(g\) be the following functions:
\(f(x) = \frac{x^2 - 4}{x^2 - 8x + 12}\)
\(g(x) = \frac{x^2 + 10x + 25}{4x + 20}\)
Without graphing, evaluate each limit. You are welcome to provide a graph for confirmation but the limit must
be found algebraically (2 points each):
a) \(\lim_{x \to -5} g(x)\)
b) \(\lim_{x \to 2} f(x)\)
c) \(\lim_{x \to 6} f(x)\)
d) \(\lim_{x \to 0} g(x)\)

4. Let f and g be the following functions:
f(x) = (x^2 - 4)/(x^2 - 8x + 12)
g(x) = (x^2 + 10x + 25)/(4x + 20)
Without graphing, evaluate each limit. You are welcome to provide a graph for confirmation but the limit must
be found algebraically (2 points each):
a) limx → -5 g(x)
b) limx → 2 f(x)
c) limx → 6 f(x)
d) limx → 0 g(x)

Added by Erin W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Thanks for your feedback!

Let f and g be the following functions: f(x) = (x^2 - 4) / (x^2 - 8x + 12) g(x) = (x^2 + 10x + 25) / (4x + 20) Without graphing, evaluate each limit. You are welcome to provide a graph for confirmation but the limit must be found algebraically (2 points each): a) lim (x->-5) g(x) b) lim (x->2) f(x) c) lim (x->6) f(x) d) lim (x->0) g(x)