Question

2. Find the limit. (a) \lim_{x \to 3^{-}} \frac{x^4 - 81}{x - 3} (b) Does the function $f(x) = \frac{x^4 - 81}{x - 3}$ in part (a) have any horizontal/vertical asymptotes? If yes, state them. (Use the limits and show your work to get a full credit.)

          2. Find the limit.
(a)
\lim_{x \to 3^{-}} \frac{x^4 - 81}{x - 3}
(b) Does the function $f(x) = \frac{x^4 - 81}{x - 3}$ in part (a) have any horizontal/vertical asymptotes? If yes, state them. (Use the limits and show your work to get a full credit.)

2. Find the limit.
(a)
limx →3^- (x^4 - 81)/(x - 3)
(b) Does the function f(x) = (x^4 - 81)/(x - 3) in part (a) have any horizontal/vertical asymptotes? If yes, state them. (Use the limits and show your work to get a full credit.)

Added by Juan Antonio M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Shaver Phagan

03/14/2021

Step 1

Step 1: Find the limit as x approaches 3 from the left side: lim_(x->3^(-))(x^(4)-81)/(x-3) = lim_(x->3^(-))((x+3)(x-3)(x^(2)+9))/(x-3) Show more…

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Find the limit. (a) lim_(x->3^(-))(x^(4)-81)/(x-3) (b) Does the function f(x)=(x^(4)-81)/(x-3) in part (a) have any horizontal/vertical asymptotes? If yes, state them. (Use the limits and show your work to get a full credit.) 2. Find the limit. (a) x4 - 81 lim x-+3-x-3 totes? If yes, state them. (Use the limits and show your work to get a full credit.)