Compute the following limits. (1) lim Ix-1 x-1 x-1

Q: B. Calculate each of the following limits, or explain why it does not converge. i. lim, - 1 (x-2) /…

A: We have given limit, we have to find the value of limit.

Q: Use the Squeeze Theorem to evaluate the given limit.  lim x→3 f(x), where 5x − 7 ≤ f(x) ≤ x^2

A: We know that Squeeze theorem states that: Ih h(x)≤f(x)≤g(x), when x is near a and…

Q: Evaluate the following limit: (x- 2)2 – 4 | lim If it does not exist enter DNE.

A:

Q: Calculate the following limit of f(x). x² + 6x + 9 lim x +3 X--3

A: Calculate the following limit of f(x) . In this we use L'hospital rule because here made a 0/0 form…

Q: Compute the following limits exactly. Vx+22 -10 lim X 78 X-78

A:

Q: Calculate the following limits, if exist. 5x 4x3 lim x00 4x1– 6x- .2 -2.x x² - 4 lim X2 2r2 -1 1x +…

A: apply the limit after solving

Q: Compute the following limits. 4-(2+h) (a) lim (b) lim - x-2 h→0

A: Using rules of limits.

Q: Determine the following limits analytically.

A: Given:  limx→1 2x-x2To find the Limits :Formula: limx→a f(x) =limx→a f(x)

Q: Compute the exact value of the given limit. V5x2 + 1 lim 6x

A:

Q: 5. lim x-0 e2x-1

A: LetL=limx→ 0xe2x-1Plug in the value x=0L=0e2(0)-1L=01-1L=00Therefore Apply L Hospital ruleL=limx→…

Q: Determine the following limits lim, - f(x) if < f(x) < 2

A:

Q: Find the limit. lim X-2 x+2 O 1/2 -00 O Does not exist

A: Answer is limit does not exist

Q: Find the limit, if it exists. 1) lim (x2 + 8x - 2) X→1

A: =?

Q: Solve the following limit by definition (ii) (4 – 2x, x 1 lim f(x) = 2 if f(x) = %3D x→1

A:

Q: Evaluate the following limits analytically: x-2 a. lim- x-1x2+x-6 10-x-4 b. lim x--6 x+6 c. lim *+13…

A:

Q: Determine the following limits analytically.

A: Given limx→3x2-9x2+42x2-3x-9 By using  a2-b2=(a-b)(a+b)

Q: Find the following one sided limit -5 lim z→1+ £ – 1

A: here we have to find limit from right hand side

Q: Find the following limit: 2x –x+3 lim 3.x +5

A: Explanation of the solution is given below...

Q: I need help solving this.

A: The given function is a piecewise function and it is required to calculate following limit,

Q: lim x/(x-1) x→1+

A:

Q: Evaluate the following limit V1+ cx lim x→0 - 1

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: evaluate the following limits (x+3)3-27 limy -20

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

Q: Calculate the following limits x2+4x-12 а) lim x-2 b) lim Vx +1 In(x+ 1) |x-21 X→ー1

A:

Q: Evaluate the given limits numerically (using table of values) and graphically 1. lim2 X-2 x-2 f(x)

A: x 1.9 1.99 1.99 1.999 2.001 2.01 2.11 f(x) 3.9 3.99 3.999 4.001 4.01 4.1 4.11     limx→2x2-4x-2…

Q: i. Calculate the following limit: 2x|x – 1| lim - x-1 x-1 ii. Determine the limit of f(x) when x…

A:

Q: 2. Determine the following limit. 450 lim x→∞ 9+3 .1.2-0.25x+10

A:

Q: Solve the following limit by definition (ii) lim f (x) = 2 if f(x) : (4 – 2x, x 1 x-1

A:

Q: t2 - 1 lim t→-2 t2 +3t-1

A: Given limit is limt→-2t2-1t2+3t-1.

Q: lim -y3-3y²+4 y--2 -2y2-y+6

A:

Q: X-2 a. lim x-1x2+x-6

A:

Q: Evaluate the following limits analytically: x-2 x-1x2+x-6 a. lim 10-x-4 b. lim X--6 x+6 c. lim *+1 3…

A:

Q: Evaluate the following limits. (x+1)² x² -1 x→-1 а) lim Vx - 4 lim b) х-16 x→16

A: a). On directly substituting the limit, the indeterminate form will be obtained, so first we need…

Q: Determine the following limits at infinity. 4x² + 2x + 3 lim x²

A: Consider the provided expression, limx→∞4x2+2x+3x2 Determine the limit of the expression. First, we…

Q: 2. Compute the following limits: (a) lim -x+ 7x + 3 (b) lim -x* + 7x +3 3 + 7x + 3 (c) lim

A:

Q: Determine the following limits at infinity. 10 lim a5 + *+

A: Given, limx→∞a5+1x+10x2b

Q: 9. Determine the exact answer for the following limit analytically: Vx+1-2 lim- x-3

A:

Q: evaluate the limit.

A:

Q: Evaluate the limit. lim I-+0 V1+ 9x – 1

A: To evaluate:  limx→0x1+9x-1 if we substitute x=0 in the limit we get x1+9x-1=01+0-1=00    undefined…

Q: Compute the following limits exactly. 5* -7x +11 (a) lim x3+3x-4 X2 X TIX (b) lim 13sin(-A)-/24x +17…

A: Consider the limits a)limx→25x−7x+11x3+3x−4b)limx→613sinπx4−24x+17

Q: Evaluate the following limit, if it exists. ха — ах + а — 1 lim x→1 (х — 1)2

A:

Q: Q1. Compute the following limits if it exists. √x+2-3. 1-lim( x-7 2-lim (7x²+x+1) x→∞0 4x²+3x

A:

Q: Evaluate the following limit: x1-14-V2 lim,-2 r-16

A:

Q: Find the limit, if it exists

A:

Q: Find the limit lim x3 e-x2 X→00

A:

Q: Q1: Find the limit of the following х-2 2x2+1 tan nx 1) lim- 2) lim x-0 (2-x)(2+x) 3) lim x-2 x²-4

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

Q: Find the shown limit.

A: To Determine:  find the limit. Given: we have limx→511x-3x2+1 Explanation: we have a limit…

Q: Determine the following limit: V1+ 4x – V1– 7x lim x →0

A:

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.