10. Evaluate the limit: -3x -9 x +3 lim x--3+ \x2 +x- 6 x-2/

Q: Evaluate the limit. 3 -2 lim x>1 3 x - 1

A: Given- limx→1-3x3x-2x-1 To Find- The value of the limit.

Q: Evaluate the limit. lim (x,y) → (-5, -20) y² - 4xy y - 4x

A: Solve the following

Q: /x + 4 – 2 lim x-0

A: Consider the limit, limx→0x+4-2x To estimate the value of the limit, we take some points on the…

Q: Evaluate the limit.

A: Given limit:

Q: Evaluate the limit.

A: To evaluate the limit

Q: 9. Use the definition of the limit of a function to prove that 4x2 - 7x - 2 lim x - 2

A: The definition of the limit is that the value of the function approaches a particular value with…

Q: Find the following limits : 3* - 3-x 3) lim x0 3x +3-x 3* - 3-* 4) lim x--00 3x +3-x

A: It is known that limx→∞x=∞ and limx→∞1x=0 .

Q: Find the one-sided limit

A: To find:limx→-4- x2+2x+4

Q: Use a calculator to estimate the limit. lim X- x→-9+

A: limx→-9+x-6x+9

Q: lim an lim 2 ニ2,

A:

Q: Find the limit using direct substitution. x-4-2 lim X-13 X

A: Find the limit using direct substitution limx→13x-4-2x=?

Q: evaluate the limit    lim      (3/2 -3/x) x->2   (x^2 -4)

A: We have to evaluate the limit of function , where question is given.Firstly we will put x=2 in both…

Q: Give the two-step method for evaluating a limit of the form lim f(x)8(x).

A:

Q: x² – 1 lim x→1 x – 1

A:

Q: evaluate the limit lim (x + 1)(3x^2 − 9) x→2

A:

Q: Evaluate the limit. 1-x lim x-5+ x - 5

A:

Q: Please fast

A:

Q: Find the limit

A:

Q: Evaluate the limit: lim 5 = x → 2

A:

Q: Evaluate the limit 7x2 3x + 4 - lim x → – 3 x – 5 -

A:

Q: Use the Basic Limit Laws to evaluate:

A: We have to evaluate the following limit: limx→2x3+5x+7

Q: (5+x)-1 – 5-1 lim

A:

Q: State the limit definition of f(x).

A:

Q: Evaluate the limit: x² - 7x + 3 lim x→∞ x3 - 9x2 + 2

A:

Q: 2x-1 2. lim X-2 \3x+4,

A:

Q: Evaluate the limit 1 lim x--3 (x + 3)²

A:

Q: Determine the limit, if it exists. lim 5 (x -7) X→3

A:

Q: Evaluate the limit: lim (4x - 6) = x → 2

A:

Q: 3x lim x→∞ √x²+1

A: We can evaluate the limit as below.

Q: calculate the limit lim x→3  x2-2x-3/x2-4x+3

A: Given limit is,limx→3x2-2x-3x2-4x+3 which is the form of limx→cf(x)g(x)       where c = 3, f(x)…

Q: 4 1 lim ( x² - 4 x -2' X-2

A: We have to find the limit: limx→24x2-4-1x-2 Here it is ∞-∞ form factorizing x2-4=x2-22 using…

Q: lim 7 - 3x = -2 x-3

A: To prove :   limx → 3 7 - 3x = -2.

Q: Find the limit using direct substitution. 3x + 2 lim x-1 1-X 1 -x

A:

Q: Find the limit x-5 lim x→5 x²-25

A:

Q: 4. Use left and right hand limits to determine if the following limit exists, 22 + 2x - 3 lim 2-3

A: To find:- Use left and right hand limits to determine if the following limit exists

Q: lim X-4 X → -9x+9 Xナ

A: limx→-9+x-4x+9

Q: x² + 9 – 3 lim x²

A:

Q: evaluate the limit lim                 x          x->2+         (2-x)3

A: Firstly, We introduce new variable h as shown on board.

Q: ) find the following limits if exist:- x²+3x-4 x-1 limx-17

A:

Q: Find the limit. x + 3x - 10 lim x+5 x--5

A: It is given that,       limx→-5x2+3x-10x+5 We have to find the limit.

Q: Evaluate the limit, if it exists. lim (1/4+1/x)/(4+x) x--> -4

A: The given expression is,

Q: Evaluate the limit lim (3x + 3) (8x + 4) x → 5

A:

Q: Evaluate the limit using the appropriate properties of limits. 7x2 – x + 6 lim X - c0 4x2 + 5x - 4

A:

Q: lim= X-3 X-3 9=7

A:

Q: Evaluate the limit lim Va x + 3x + 11 – x 2 -

A:

Q: Evaluate the limit, if it exists.

A: We have to find limit: limx→-414+1x4+x Since it is 00 indeterminate form so making it determinate by…

Q: Evaluate the limit below. 28 – 4x + 7x2 lim -9x² – 4 - 4

A: LetL=limx→∞ 28-4x+7x2-9x2-4Divide N and D by x2L=limx→∞ 28x2-4xx2+7x2x2-9x2x2-4x2L=limx→∞…

Q: Evaluate the limit, if it exists. If not, enter "n" below. x2 - 4x - lim x→-1 r² 3x – 4 - -

A: We have to find limit

Q: Evaluate the limit. 6 lim x →7 x – 7

A: To determine the left-hand limit, apply the constant multiple rule limx→acfx=climx→afx and find the…

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.