a) lim,-1- F(x) = b) lim,--1+ F(x) = | %3D c) lim,--1 F(x) =| | d) F(-1) = %3D e) lim,1- F(x) = %3D f) lim,-1+ F(x) = g) lim,-1 F(x) = %3D h) limx-3 F(x) = i) F(3) =

Q: 1-z = ? What is lim %3D !- 2!- -2

A: In order to evaluate the limit of a function f(x) at certain point a then replace x by a to get…

Q: 4) evaluate lim x-->2 (2x2 - x - 6) / (x2 - x - 2)

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

Q: 1- Find the limits: lim V - 1 メ→ x-1 а. 2x3 b. lim x- 00 3(x-2)2 2x3 c. lim x2 3(x-2)2 x+1 d. lim…

A: Consider the limits  a.limx→1x−1x−1b.limx→∞2x33x−22c.limx→22x33x−22d.limx→3x+13−x2

Q: . lim, 1 -2 Inx x-1

A: To evaluate the given limit

Q: (2x-1)(3-x) is (x-1)(x+3) limx→0

A: Given problem is :

Q: 3- Vx Determine lim- x+4 x-9

A: Given limx→43-xx-9

Q: 1. limx→1 x-/2-x2 x4+3x3–13x²-27x+36 2. limx-1 x²+3x-4 3. lim,1- V1 – x 3x3-x²+1 lim

A: In this question we will use basic of calculus I.e concept of limits. Solution of the above question…

Q: lim In x X-→ 0+

A:

Q: 1. 2. 3. lim 2 tan () lim – () 2-16 (x²–16 x+2 lim х -3 х-2 x →4 2 4. 7. x2 -7x+12 5. lim x →4…

A: Limits are given, we have to the find the given limits

Q: If lim f(x)=-2 x-->0+, lim f(x)=3 x-->0-, and f(0)=-2, what can you say about lim f(x) x-->0?

A:

Q: Зx2-14х +8 lim 7x-28 x+4

A: By factoring method: Take factors in numerator and denominator  Limx-4(3x2-14x+8)/(7x-28)         =…

Q: 10 Find lim x12s 3. X->- X -25 2 lim Jx +3 - 2 メ→」 O lim Sitx - -x 3. 1-X 2 X

A:

Q: х3-x2-5х-3 (х+1)* (iii) lim x-1

A:

Q: 1. Find a) lim x3 3-x b) lim- x3* 3-x ,c) lim- x+3 3-x

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: tan (2x) 3. 24. lim- %3D .3

A: We replace tan(2x) by sin(2x)cos(2x)…

Q: B. Find the limit. Зх— 1 5. lim х-1/3 9х2-1 x3- 1 6. lim х+1 х-1 Vx+5 -2 7. lim X→-1 х+1 Vx-1 4. lim…

A:

Q: Find the limits

A: Given Data The limit is limx→-32-x2-5x+3.   Solve the given limit expression,…

Q: limx--->2^-     f(x), where f(x)=2x-5 if x <2…

A: limx-&gt;a- f(x) = limh-&gt;0 f(a-h)

Q: 1- Find the limits: lim x→I x- 1 а. 2x3 b. lim x- 00 3(x-2)2 2x3 c. lim x-2 3(x-2)2 x+1 d. lim x-3…

A:

Q: 3. Determine the infinite limit. x² + 3x lim x--1- x2 + 2x + 1

A:

Q: 2 2- limx-1 sin(x3-1) x-1

A:

Q: lim (In x) x→0+

A: Given,          limx→0+lnx

Q: 1 f. lim-( x-→0 x`x+2 2 (1+x) -/ g. lim

A:

Q: lim- LIMIT VALUE: z²-16

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question..…

Q: 3 x' tan (x) lim - 3 4x* + 2х-1

A:

Q: Find the limit.

A:

Q: 4-VE Find the limit: lim→16 x-16

A: We need to evaluate the following limit limx→164-xx-16

Q: By L'Hopital's Rule, X-2 lim x→2 X²-1 1 1 lim. = x→2 2X 4

A: L’Hospital’s Rule: Suppose that  limx→a f(x)g(x)=00  OR  limx→a f(x)g(x)=±∞±∞ where a can be any…

Q: Lim 1 - - x + n x х — 1 x' - 3x + 2

A:

Q: H-w in limits 3-3- 2.21 9 iaam ) Lim. 1- CosC2K) Sin (24) 2 - メャ3 2) Lim x2x -3 3) Lim (X+4}-16

A:

Q: Vx+4 -3 3. Evaluatelim Show your complete solution. x-5 x-5 x-1 4. Evaluatelim Show your complete…

A:

Q: Find f(a)  a=2

A: We know that the definition of derivative is: We write the given equation in this format and find…

Q: 12-x-x 1- Prove that lim -7 %3D x-3 V6+x-3

A: our objective is to find the limit

Q: 1:3.5. - - (2n-1) now lim lim (n+1)! 1.3. 5-- - (2n-1)

A: Step1: Here to calculate the limit we value we have used the limit ratio test , where we the given…

Q: √2+x-√2-x X lim- --0

A:

Q: • Find the limits of 2+x-V2 • lim Vx -3 • lim X→9 x-9 x³+1 lim X--1 x+1 V5+x -V5-x • lim x-0…

A:

Q: lim (In(x))/x

A: We use L'Hospital rule to evaluate the given limit.

Q: find the limit of lim x->3 sin(x-3)/x^2-x-6

A: To find limx→3sinx-3x2-x-6

Q: 1 1 i] lim 2 1--3 x-2 ii] lim- x-* 2x-6

A: Apply put the limit and solve it

Q: /14-х-3 lim 1-V6-х X→5 4-Vx lim х>16 16-х

A:

Q: lim x in (It -)

A:

Q: 91_در lim 2-3 z²+4z-21 LIMIT VALUE: lim 2--1 LIMIT VALUE: lim (x³ +7x² - 2x + 4) 2-2 LIMIT VALUE:…

A: Solved below

Q: 1. limx→−1−  F(x)= 2.lim x--->-1+  F(x)= 3. limx-->-1  F(x)= 4.F(-1)=

A:

Q: Find the limit.

A: Given,

Q: We have lim I- a Vsing 1-x = (- Fa)(+Ta) So, lim 1- Fa lim - a 거- (1-「 (i+Tx) %3D lim ス→) as 1+ T…

A: Yes your solution is correct

Q: 3. Prove lim 3x-7= 2 X-3

A:

Q: lim %3D X2 -マメ

A: The solution for the above question is as shown below.

Q: Find lim I -4 2+1 1 lim z - -4 +1 Show your work and explain, in your own words, how you arrived at…

A:

Q: X-2 lim = 2 a. By L'Hopital's Rule, x→² X²-1 1 1 lim = x→2 2x 4

A: