a. lim f(x) X-4

Q: (a) lim [f(x) + 3g(x)]

A: Given:  limx→2  fx=1,  limx→2  gx=-2,  limx→2  hx=0 To Find:  limx→2  fx+3gx=?

Q: Find the lim f(x), if it exist where 3x X 5 f(x) = 2x-1

A:

Q: If lim f(x) = 11 and lim g(x) = 30 then lim[4f(x)g(x) – 5] = %3D O 1315

A: To solve limx→94f(x)g(x)-5, use the difference rule of limits, limx→ca(x)-b(x)=limx→ca(x)-limx→cb(x)…

Q: If f(x) = (1+%) 3 ) 6x *", find lim f(x).

A: We have to find limx→∞fx when fx=1+3x6x If we put limit value then we get that it is 1∞ form We know…

Q: 21 f(x)= 3x2 +4x +1 and g(x) = x2 -2x-3, then what is lim f(x) *→19(x)?

A:

Q: Evaluate a* -b* lim - b* x→0 X

A:

Q: Consider f(x)=x−9/x+4 a) As x→∞, f(x)→ b) As x→−∞, f(x)→ f(x)=10x+7/x−6 c)limx→∞f(x)=

A:

Q: If / 10 - 7x2 sf(x)s/10 – x² for - 1<x<1, find lim f(x). lim f(x) = x→0

A:

Q: 39. Find lim f(x) if, for x > 0, 4x? – 5 4x6 + 3 - < f(x) < x6 x2

A:

Q: b. lim x->0+ -3/x 2 X²

A: A limit is a value that a function approaches as the input approaches some value. Limits are…

Q: Find the value of lim f(x) 1 f(x)3= 1+5/x -0.6 -0.5 0.16 01 E -0.6

A: To find out the correct answer.

Q: Evaluate the limit.

A: Given:                     limx→∞e4x-1-4xx2 Dividing the numerator by highest power denominator:…

Q: Find lim h(x), if it exists. f(x) = 7x2 + 2x + 3

A:

Q: If 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

Q: a) b) c) -4 -3 -2 -1 lim f (x) x-1 lim f(x) X→-2 lim ¿ x- 2*¹ f (x) ¿ f(x) LO 4+ 3- 2+ 1- 0 H -2+ 1…

A: Given that a graph and we find given limits - a) lim(x tends to 1) f(x). b) lim(x tends to -2) f(x).…

Q: If lim f(x)=-2 and lim g(x) = 2, what is the value of lim [f (x)+2g(x)]?

A: Given, limx→afx=-2  and  limx→agx=2

Q: Given: x + 1, -2 < x < 0 x = 0 0 < x < 2 x = 2 2, f(x) = -x, 0, 2 < x < 4 х — 4, What is the lim…

A: Consider the given function. fx=x+1,          -2&lt;x&lt;02,                x=0-x,…

Q: -f(x): a. lim

A: We'll answer the first question only since the exact one wasn't specified. Please submit a new…

Q: Find the limits x* + x lim Xo 12x + 128

A: The limit gives the value towards which an expression converges as its variable approach to certain…

Q: b) Evaluate lim g(x) if 2x − 1 ≤ g(x) ≤ x² − 2x + 3 x→2

A: Above question is solved.

Q: 2x? – x +3 compute lim- x>* x - 2x +5

A:

Q: [3 3. Consider f (x) =- 2х - 3 if x< 0 Find lim f(x) if x20.

A: To determine the limit of the function.

Q: Evaluate the limit given

A: we can move the limit inside the square

Q: What is the definition of lim f(x)?

A:

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: Evaluate:

A:

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

A:

Q: 4. What is the sign of a if f(x)= ax' +x +1 satisfies lim f(x) = 0? x→-0

A: Given that fx=ax3+x+1 satisfies limx→-∞fx=∞. Note that the given polynomial having odd degree.

Q: Find. 1) a. lim f(x) and b. lim f(x). 3- 4-

A: Answer and explanation is given below..

Q: If f(x) = 22 +1, then find lim f(x)-f(0)

A: Given, f(x)=2x2+1 ∴ f(0) = 0+1 = 1

Q: 1-Vx-6 lim X-7

A:

Q: -2-1 1 2 3 4 5 -2+

A: We have to find the limit limx→4fx

Q: Find limx∞ h(x), if it exists, f(x) = 5x3 − 3…

A: Given: fx=5x3-3

Q: a. lim f(x) =1 and f(0) = -3

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the value of lim f(x), if x→3+ f(x) 6x + 2 x 3 2x + 6 12 8 18 36 11

A:

Q: Find the value of lim [{(x + p) (x + q) (x + r)(x + s)}¹/4 − x] ∞07-X

A:

Q: If 3x - 2 0, find lim f(x) X→3

A: The given inequality is: 3x-2≤f(x)≤x2-3x+7

Q: Find lim f(x) r→-5

A:

Q: Evaluate in terms of the constant a.

A: Given :            limx→ax-ax-a

Q: Q.4: Prove or disprove, lim f(x) = 4 If f (x) = } x # 2 x = 2 x→2 2.

A:

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

A: limit

Q: -x2 if x 3 Iff (x)

A: Take value of f(x) for value of x just less than zero.

Q: for g(x)=5 and h(x)=2x find lim

A:

Q: Find lim f(x) X+ 0-

A:

Q: x2-6x+9 lim x->3 is equal to: x-3

A:

Q: Give an example where lim 1x) x0 8(x) exists but neither lim f(x) nor lim g(x) exists.

A: Let us assume two functions Then,

Q: Find the value of lim f(x), if f(x) = x3+ 6x + 2 x 3

A:

Q: Evaluate the limit given

A:

Q: 8(x) x -1 Find lim

A: Solution is given below