Find the following limit or state that it does not exist. lim (3x³ – 4x² + 5x + 7) X→2 Select the correct choice below and, if necessary, fill in the lim (3x° - 4x + 5x + 7) = (Simplify your answ O A. %3D B. The limit does not exist.

Q: 5x - 10x2-7x lim 5- 8x-5x3 5x – 10x? - 7x 1. %3D 2. lim 5 - 8x 5x3 II

A: I will solve this by taking the common factor out of denominator and numerator and cancelling it.

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A: SOLUTION-

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Q: Evaluate 23 - 7x2 +10x lim x² + x – 6 Select one: O a. -6/5 O b. -1/5 Oc. -5/6 O d. 2/5

A: limx→2x3 - 7x2 + 10xx2 + x -6

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A: To evaluate limit.

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A: We can evaluate the given limit by substituting,  t=64+h  t2=64+hh=t2-64=(t-8)(t+8) Also, as h→0 we…

Q: Evaluate lim (r + 2x° - 5}.

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A: Topic = Limits

Q: Find Lim А. 1 x−2 x2 – 5x +7 1 16 с. 1 Select one: O A OB ос OD B. 2 D. 113

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Q: QI. Find the value of: lim,

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Q: valuate the lim+ − -2 (t² - 9) / (t³ + 5t +19) a. 1 Ob. -5

A: Introduction:A function may approach two different limits. One where the variable approaches its…

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: