1.) Calculate the limit: lim(2x² – 6x +1)

Q: 5x - 10x2-7x lim 5- 8x-5x3 5x – 10x? - 7x 1. %3D 2. lim 5 - 8x 5x3 II

A: I will solve this by taking the common factor out of denominator and numerator and cancelling it.

Q: Evaluate the limit x2 + 13x + 36 lim I +9

A:

Q: Find the limits lim (V² + 3 + x) X -00

A:

Q: Vx+14-4 Find the value of the limit, lim- x-2 x-2

A: SOLUTION-

Q: Find the constant a such that Va ax +4-2 lim

A:

Q: Evaluate lim(1 – 2x)ž. x-0

A: To find the limit It is in the form 1infinity , so use the below steps. When (0/0) form comes , we…

Q: 2 3 Determine the limit: lim x1- 2- 4x + 3

A: To determine left hand limit of given function.

Q: b. Find lim (xv (xVx²+1-x²)

A:

Q: Find the limits x2 – 4x + 8 lim I -00 3x

A: Given  We need to find the limit.

Q: Q2: Find the limit 12 + 3t + 2 lim t→-1 t - t - 2

A: We are asked to find limit of a function. We will use simple algebra and solve it

Q: Find the limitsof: lim 34 メ+34 -V34 メしe

A:

Q: 25) Find: lim,(x²+ax - √x² + bx).

A:

Q: Determine the limit: 12x - 10| lim %3D 5 - x X5

A: To find  The given limit

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: Evaluate lim,→- V4x2–3x+2 х—2

A: To evaluate limit.

Q: Find the following: x+/3 + 9x+/5 i. Lim- x-0 6x1/2 – 4x1/4

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the limits lim (V9x² – x – 3x) X00

A: Find the limits: x→∞lim(9x2-x-3x) Limit: Suppose f : R → R is defined on the real line and p, L ∈ R.…

Q: Evaluate the limit lim x → 00 V8 + 5x? (8+3x)

A:

Q: Evaluate the limit: lim (6x47x)= I→ 2 =

A:

Q: Find lim (V + 1 - Vĩ).

A: To find the limit

Q: 5. Find lim [2(a+ h)? – 6(a + h) + 5 – (2a – 6a + 5)]/h h>0

A: Given that, limh→02a+h2-6a+h+5-2a2-6a+5h

Q: 7. Evaluate the limit: 9x2 -2 lim 2 3x 2 x-3

A: To evaluate the limit:limx→239x2-22-3x Solution: It is 00 form. We will use L-hospital rule. In…