cos x-2sinx 1. limx-n 3cosx -2 limx-3 X-3 3x6-x*+2x-3 limy--o 4x5+2x3-5 iv. lim,→-1(x³ limy--1(x³ – v2x + 3) lim,2|x² – x – 6| |3D

Q: 2X + 3. lim x→2 X –3 f(x) f(x)

A: Given function f(x)=2x+1x-3we can can find the values around 2 to find the limit at x=2

Q: (1 – x) 2

A:

Q: 2. f(x)= 4-x and g(x)= Vx+1 b. lim g (x) X-3

A: Given function is gx=x+1.

Q: What are the limits of function values?

A:

Q: 2 Z= 22,

A: Given  z=2x12+x1x2+4x22+x1x3+x32+2

Q: Determine for what numbers, if any, the function is discontinuous. Construct a table to find any…

A:

Q: Find all the numbers for which the function is discontinuous.

A: A function is discontinuous at a point if the functional value is not defined at that point. There…

Q: Find the range of the possible of x

A:

Q: (d) lim f(x X →+00

A:

Q: Find the domain and range of the following function f(x) = |x| – 2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If the relation below is a function, which are possible values for a and b? {(-2, a), (5, – 3), (0,…

A: A function is a special type of relation where every input has a unique output. A function is a…

Q: if x 2 (-2x, f(x) = { 4, ーx?+ 5,

A:

Q: Evaluate the following limits if they exist x +5x-3 a) lim x² + 2x – 6 x² – 3x – 1 b) lim x' +1 c)…

A: In the question we have to calculate the limit of the following functions given.

Q: 28. (A) (B) lim, g(x) (D) g(−2) _lim_g(x) (C) lim g(x) (E) Is g continuous at x = -2? Explain.

A: Topic - Limits of a function

Q: x² – 4 Ax) xx – 2

A:

Q: Z-3 f(2) = (z – 3)(x – 1)

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: f (x)= 4 - x lim f (x) a.

A: Given function is fx=4-x2.

Q: Prove that lim 1-cos t t-0 = 0 by completing the following the indicated process.

A: Given,            limt→01-costt=0To find : Prove the given limit by the given indicated process.

Q: 2 Ax, y) = V 16 – x – 4y²

A: Given function  fx,y=16-x2-4y2fx,y=16-x2+4y2 Domain pf the function  16-x2+4y2≥0x2+4y2≤16x216+y24≤1…

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.