Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y 4 (2, 3) C = 2 4 6 8. -2 (2, -3) (a) lim f(x) = ズ (b) lim f(x) = ズーに (c) lim f(x) : xー→に Is the function continuous at x = 2 Yes No 2. 2.

Q: 3 Use the Squeeze Theorem to evaluate lim f(x), where f(x)=x²cos (-). x A B C D - 0 0 1 8 -0-x

A:

Q: The graph below is the function f(x). 5+ 3- -5 -4 -3 4 -2- -3 -4 -5+ Find the following. lim f(x) =…

A: We have to find the limit.

Q: f(x) : II. Determine the limit of the function, g(x) = x² + 2, given its table of values. -3 11 -2…

A: Given :                              g(x) = x2 + 2         (1).…

Q: xy Let f(x, y) : and let L = lim(2,y)>(0,0) f(x, y). Which of the 8x2 + 9y2 following statements is…

A:

Q: y=fx) 3 2+ 2 3 45 6 a=3 lim f(x) = lim f(x) = lim f(x)

A:

Q: Explain, using limit definition, why f′(x) = 0 for any constant function f(x) = c.

A:

Q: a. Consider f(x) i. lim f(x) = x →0¯ ii. lim f(x) = +0+* = iii. lim f(x) = x→0 iv. f(0) = = v. lim…

A: In this question, we will find the limits.

Q: lim (x,y) →(0,0) 5x4 y x² + y²

A: Given information:Given function,To find:Evaluate the limit of the function.Concept used:To evaluate…

Q: limit of a function f(x) as x approaches c is always equal to f(x). True or false

A:

Q: The graph below is the function f(x) -4 -3 -2 -1 lim z→ 3+ 4 3 2 1 -1 -2 -3 -4 Determine the…

A: Find the limit from the graph

Q: f(c +h) - f(c) For the function f, form the difference quotient F(h) = and then find lim F(h) for…

A: F(h)= f(c+h)-f(c)/h Find lim h->0 f(h)= lim h->0 f(c+h)-f(c)/h If we put h=0 then…

Q: Justify your answer. f(x) Is there a function f such that lim, 1 f(x) = 0 and lim, 1 = -∞?

A:

Q: y=f() 3 6. Use the graph of f(x) above to find the value of the folllowing: lim f(x) =

A: At any point P limit exist if , left hand limit and right hand limit and value of function at P are…

Q: Let f be a function defined by f (x) : S4 – x?, x + -3 1. Evaluate l1, x = -3 а. ズ→ー3+ lim f(x) b.…

A: To find out the limits.

Q: The equation for the line tangent to f (x) at the point (7, 11) is given by y = 12x – 9. Use f(7+h)…

A: The equation of the line tangent is given by y=12x-9 Let ''m'' be the slope of tangent.…

Q: Below is the graph of a function f. -2 H

A:

Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as: