Q:: Find the limit for the following functions: - VI-2 1- lim4 X-4 x-4 2- lim 2r-3)(vI-1) X-1 2x2+x-3

Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: x3+1 (1) (3) 4- V (2) 2x2 +3x + 4 x2-1

A:

Q: Give an example of function with an oblique asymptote of 2x-1.

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Q: The graph of the function f(x) 4x4 12x3 x + 7x – 3 is shown below. | 30+ 25 20- 15 10- 5 -6 -5-4-3…

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Q: Determine lim f1x2 and lim f1x2 xS-0 for the following functions. Then give the horizontal…

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Q: 5x' +8x² lim x→0 3x* – 16 r? 3

A: Cancel out the common factor from numerator and denominator than put the x and calculate limit.

Q: 4х+2 1. lim 9x² -3 2

A:

Q: Find f(-3), given x-2 げrs -1 f(x)3D| 3x+1 げェ>-1)

A: We need to find out f(-3) here x=-3 that means x≤-1.

Q: Jx²+2 Lim X-7 3x -6

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Q: Evaluate the difference quotient for the following function. f(x) = 4x²-x First, find f(x + h) −…

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Q: { if -3 x 2 x 1 f(x) 5x - 8 if x > 2 Domain:

A: To describe the set of points x , for which f(x) is well-defined.

Q: From the list below select the domain and range of the function that assigns to each pair of…

A: As described, the function f is given as       f(x, y) = max{x, y} Where x and y are positive…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.