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

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

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

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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: 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: 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.…

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: