Q.2 Show that r(ax) _ 1 lim x0 (x)

Q: х+4 a) Compute lim X3 (x-5)(x-3)

A:

Q: Vx+5-3 b) lim x→4 х-4

A:

Q: 8) lim 2X - メーラ メ1x (-3

A: Here we have;  A=limx→32x2-x-15x|x-3|

Q: Show that lim(5x+2)=-18 x-> -4

A:

Q: If 4.x 9 <f(x) < x² - 4x + 7 for x 0, find lim f(x).

A:

Q: lim2

A: Explained below

Q: 1. lim 2x

A:

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: 8. lim x 0 √x²+4-2 x2

A:

Q: 6) Find lim (1-2x)= 17100

A: Step 1:Given limx→−∞​(1−2x)x1​Consider y=(1−2x)x1​Thenlimx→−∞​yThe expression is y=(1−2x)1/xStep…

Q: a) lim 2+1 - 2x - 5 (2x - 1)³

A: Topic:- calculus

Q: X 2 +2 x-2 3. Find lim 4. Prove that lim(2x² +1)=3

A: Dear student,                       According to our guidelines we are supposed to answer only first…

Q: each

A: We have to find its value according to the given information.

Q: f(x) (28z +39)(2r 17)(5z 18)(7z 24) (24 7r)(5z 18)(28z +39)(39r 17) E) da como resultado:

A:

Q: (3x-1)² - lim x→1 (x+1)3

A:

Q: 1 c) lim x+0 \ex-1 X.

A: the given expression is: limx→01ex-1-1x…

Q: (M1.4 C) Consider the two functions h(x) = %3D and k(x) 2² + 4x+4 2+x-2 Compute the lim h(x) and lim…

A: Given: The functions hx=x2+x-2x2+4x+4 and kx=x2+4x+4x2+x-2 To find: limx→-2hx and limx→-2kx

Q: d) (x+27) -3 X lim-

A:

Q: Let f(x) = x² - 4x-21 X-7 Find a) lim f(x), b) lim f(x), and c) lim f(x). X→7 X-0 X→-3

A:

Q: a) Evaluate V9x(x² – 3x +2) lim (3х — 3)

A: To find the limit:

Q: Evaluate lim h→0 1 2 5 (x+h) ² 2h 1 5x²

A:

Q: 5. Find limf(x) x4-3 a) f(x) = 5x4 %3D 6x4 - 3 b) f(x) = 3x3 2x3 - 9 c) f(x) = %3D 3x5

A: We have to find limx→∞fx for a fx=x4-35x4b fx=6x4-33x3c fx=2x3-93x5 Since all above limit has ∞∞…

Q: The function h is defined by h(x) following statements must be true? A (В B (C) D lim h(x) x→4- lim…

A:

Q: Use the graph of f(x) = X + 2x - x-8) to determine lim f(x) and lim f(x). X→-4 X-2

A:

Q: Find Vx2 +8-3 lim X-1 x + 1

A: Limits question

Q: 2x a. lim x-+3" X - 3

A: limit

Q: x² - 3x Find lim x→3 x2 - 9 2

A: to find out the limit.

Q: 2x3 6) lim- 3--3X²-4

A: we need to evaluate the expression limx→∞2x33x2-4 limx→∞2x33x2-4=2limx→∞x33x2-4

Q: а) The function f is defined by 2, if x2 i) Find lim f(x). Give your reason.

A:

Q: 1. lim x-2 (2x + 3)

A: 1. To find the given limit limx→ 22x+3

Q: If (x) is defined by the following 3-x f) = +5 x²- 4x +3 x<2 x+1 Then find the lim f(x) & lim f(x)?

A:

Q: 2x So" et (c) lim (d) lim (3r +e") 2

A:

Q: 3x 2х 2) Lim х-1 х+1° X → 00

A: Given,   limx→∞(3xx-1-2xx+1)

Q: Suppose that c is not a real number in the domain of f(x) =sec(x) , then lim sec(x) = sec(c). True…

A: Given that, f(x)=sec (x) We know that  f(x)=sec x is  defined for all real values of x except x ≠(2n…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.