а) The function f is defined by 2, if x<-2 f(x) = {x², if -22 i) Find lim f(x). Give your reason.

Q: How does the function behave as lim x → 3- for 7/(3(x-3)(5-x))?

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Q: 2. Explain what it means to say lim f(x) does not exist. Again, be sure to explain the concepts!!

A: Given :limx→3fx does not exist

Q: If f(x) = lim f(x) = X-4 -7 for x = 4, {2} 2x+7 for x #4 then

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Q: If limx→.3[x³ + f(x)] = -29, use the Rules of Limits to evaluate limx→.3[36x^² + f(x)- 3x]. O a. 11…

A: limx→-3x3+fx=-29

Q: f(x) If f(x) = 3x? + 4x +1 and g(x) = x² - 2x - 3, then what is lim *19(x)

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Q: Find lim f(x), lim f(x), lim f(x), and f(a), if they exist. Xa

A: Consider a function f(x) which has a hole at x=c. Then the right, as well as the left limit of this…

Q: 9. True or false: lim x = -1 X+1 1= x² 11 -IN 2

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Q: 2/3 x2/3 – 1 13x + 41-1지-4 Evaluate lim 38. Evaluate lim -11 - V

A: Hello, thanks for the question. Since we’ll answer the first question as the exact one wasn’t…

Q: V1-x3 15. lim x-1- V1-x2

A: the given limit is: limx→1-1-x31-x2 we have to evaluate the given limit.

Q: Show that lim (x³ - x) = 6 in the following steps. Do not use derivatives. x-2 (a) Show: if x - 2| <…

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Q: Find the intervals on which the function is continuous. x+4 y=2-7x+ 12 O A. discontinuous only when…

A: As per bartleby expert policy only one individual question is to be answered. Kindly repost…

Q: lim x>-3- x² +2xr-3 a. X- 7X b. lim x>-3+ x2 +2x-3 lim x>-3 x² +2x-3 C. X- ,X

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Q: VI+x-VI-x Evaluate limx→0

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Q: Complete the description of the piecewise function graphed below. -654-3-2-1 { f(x) = { 2 • C if -6…

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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: