3. Evaluate the following limits: +1 iv. lim 42 x-3 x+3 1 lim 4 v. 3 x2-2x-3,

Q: Determine the following limits. ? lim xS0 4x2 6x V16x* 16x* + + + x*

A:

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 Following limts 9-X VX-3

A: We can evaluate the limit as below.

Q: C. Evaluate the following: i(z³+1³) 1. lim 24-1 2²+1

A: Given limit: limz→-iiz3+i3z2+1 L'Hospital rule: If limx→cfx=limx→cgx=0 or ±∞, g'x≠0 for all x in I…

Q: Q5:- Evaluate the following limits 3x4-3x2+5x-9 1. limxo 7x4+3x3

A: Solution

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

A:

Q: 8 x2 -73 x -70 lim x-10 X- 10 x3 - 64 lim X - 4 X- 4

A:

Q: Evaluate the following Limit: 4x2 lim x-0V16+2x2-4 A- 10 B- 12 C- 0 D- 16

A: Please see the solution below

Q: Find the limits

A: Given: Function  To Find: Limit of the function at the given point

Q: Find the limits

A: The given function is

Q: Find the following limits: lim (x² – 13) a. X--3 b. lim 8(t-5) (t - 7) t-6 2x+5 lim x-211-x³ c. C.

A: To find the following limits.

Q: 5. Evaluate the given limits, or justify why they do not exist: -9 a. lim 3HI3 3r-8 b. 2x+6 4.x+1 c.…

A:

Q: Reduce the expression and then evaluate the limit: 100 lim X-10 x + 10 X + 10

A: Given limit is     limx→-10x2x+10-100x+10      We first simplify the expression .

Q: (a)f(1), (6) lim→1 f(x), (c)f (2), (d) lim,→2, (e)f(3), (f) lim,→3 yA y = f(x) 4 3. -1 1 2 3 4

A:

Q: 26. ƒ(x) = 2x² − 3x + 1, g(x) = 3√x + 6 - (a) lim f(x) (b) x-4 lim g(x) (c) lim g(f(x)) x→21 x→4

A: f(x) = 2x2 - 3x + 1g(x) =   limx→4 f(x) = limx→4 {2x2 - 3x + 1}                     = 2×42 - 3×4 + 1…

Q: Evaluate the limits.

A:

Q: Evaluate the following limits: a) lim 20 7-6 10r2 r-4 b) lim q-3-79-6 qco 2q4+4q-3-10q-8 c) lim…

A:

Q: lim 3X + x?+2 X-> X+ -2 2X +X2 V 3h +4 -2 lin!

A:

Q: Find the limits 2.1 2x + 3 lim Xo Sx + 7

A: To evaluate the limit: limx→∞2x+35x+7 Solution: limx→∞2x+35x+7 On simplifying further we get:…

Q: Find the limits

A: The given expression is limt→-1t2+3t+2t2-t-2

Q: b) lim (1 +2x)³A * x=0

A:

Q: Determine the limit: lim 45 - 5x2 %3D X3+ X - 3

A:

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

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.