Answer to: Sketch a graph of a function that satisfies the following conditions: f (0) = 0, lim_{x to plus or minus infinity} f (x) = 4, and...

Show that lim_(x,y) rightarrow (0,0) x^4 y + xy^4/x^5 + y^7 does not exist. Show that \lim_{(x,y) \rightarrow (0,0)} \frac{xy}{\sqrt{x^2+y^2 does not exist. Show that lim_(x,y) rightarrow (0,0) x+2y/x-y does not exist. Show that \lim_{(x,y) \rightarrow (0,0)} \frac{2xy^3}{x^2 + …

For the function f graphed in the figure below, find a) \lim_{x\to 2^-}f(x)\\ b) \lim_{x\to 2^+}f(x)\\ c) \lim_{x\to 2}f(x)\\ d) f(2) For the graph g(x) below, find g(5). Use the graph of the function g shown to find \lim_{x\to 3} g(x). The graph of a function is shown in the figure. Find all the values of x …

If there is a more elementary method, consider using it. a) \lim_{x \rightarrow 0} (e^{5x} - 1 - 5x)/(x^{2}) b) \lim_{x \rightarrow 0} (3x - sin; Find the limit. Use L'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. \lim_{x \rightarrow 1} \frac{(x^3a - 3ax + 3a - …

{eq}\displaystyle \lim{x \to a} f(x) = L {/eq} only if both the left sided limit {eq}\displaystyle \lim_{x\to a^-} f(x) = L {/eq} and the right sided limit {eq}\displaystyle \lim_{\to a^+} f(x) = L {/eq} It is not necessary for the function to be defined at {eq}x=a {/eq} in …

lim ( x , y ) approaches ( 0 , 0 ) x 6 - y 6/ x 3 + y 3; Find the limit if it exists: lim as x approaches -2 of (x^3-5x^2-15x-2)/(x^2-4) Find the limit, if it exists, as x approaches -8, of (x^2-64)/(x+8). Find the limits. If the limit does not exist then show why 1. \displaystyle \operatorname { lim } _ { x \rightarrow + \infty } \frac { 5 x ...

Determine the limit lim x to c f(x) by using the given graph as shown in the figure. Use the graph to evaluate the limit. lim x rightarrow 0 f(x) Use the given graph of the function f to the following limits. lf a limit does not exist type "DNE". a.

(Select all that apply.) f(x) ={x^2 - 4x/x^2 - 16 1 if x 4 if x = 4 a = 4 f(4) is defined and lim f(x) is finite, but they are not equa Explain why the function is discontinuous at the given number a.

Sketch the graph of an example of a function that satisfies all the given conditions. lim_x to 3 f(x)=infty, lim_x to infty f(x)=-infty, lim_x to -infty f(x)=0, lim_x to 0^+ f(x)=-infty, lim_x t; Sketch a graph of one possible function f(x) for which all the following conditions are true.

If { \lim_{x\rightarrow} f(x) = L, } then f(a) = L A. False B. True If { \lim{x\rightarrow a} f(x) = L, and, \lim{x\rightarrow a} g(x) = L } then f(a) = g(a) A. False B. True The limit {True or False: If the limit of h(w) as w approaches 8 is equal to negative infinity, then h(w) has a …