1 lim- as x2 - 4 a. x-2* b. x-2 с. х— -2 d. x--2 lim- "x² - 1 as b. x-T d. x--T a. x- 1+ c. x -1

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

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

Q: If -x2 - x + 1 ≤ g(x) ≤ x2 - x + 1 for all x does not =0. What is the lim x-----> g(x)?

A:

Q: In x? c) lim- X-0 cotx2

A:

Q: Зх-7 (1) lim x--o V4x2+x-11

A: Explanation and solutions is given below....

Q: What is the lim of squared root x^2-4, if x ---> 2 ^+

A:

Q: Evaluate lim x->-1 if f(x) {  1/x if x < -1                          { x2 - 2 if x ≥ -1

A: To evaluate: The limit limx→-1fx. Given: The function is fx=1x,        If x&lt;-1x2-2    If x≥-1.…

Q: 3) lim-) 1 х-1 \x-1 In x)

A:

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: 1) lim (1--)*

A: As per our guidelines we can solve only 1 question. The rest can be reposted.    In question  no 1…

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: 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: 2х — х +3 compute lim- x>* x² - 2x +5

A:

Q: 1) lim (1- – - 3,

A: The given limit is limx→∞1-3xx

Q: 4x + x-1 lim 3x- x²

A: Here we have to find limit of the given function.

Q: lim as x--> 0 of (1-2x)^1/x

A:

Q: Show that 4z2 z2 +1 1 (b) lim- z→1(z – 1)3 (a) lim : 43B = 00; (c) lim = 00. - - z(I – 2) 0+2 I- 2…

A: We will use the simple calculations using some usual formulae to evaluate these limits.

Q: Find a number b such that lim- .2. x²-4 =2 x-b x-x -2

A:

Q: 2x^5-x^4-1/8x^5+x^3+x-2

A:

Q: 17. If lim- X- 200 – 4n + kn² then k =

A: Given

Q: find Vx+4--x-2 1- lim --3 x+3

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: ® Find Lim X->2 x¥ _ 2x² - 8 x² - 4 (2 ,X +2 Lim 3X X→3 X- 3 -3 X+3 O Lim © Lim t- fo -) ,X EO X+2 2

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

Q: compute: Lim x2 + 12x -5 (x->1) Lim x+2/x2-4.    (x->1) Lim x2-9/x2-x-6 (x->3)

A:

Q: 1 Find lim 3 s-2- \s-2 s²–4,

A: Given, Evaluate lims→2-1s-2-3s2-4

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

A: Given: L=limx→-3+-3x-9x2+x-6+x+3x-2 We know that  limx→afx+gx=limx→afx+limx→agx…

Q: Find lim *2 x -2 In(x- 1) by using the La'Hospital Rule.

A:

Q: 1. Evaluate the limit: 5 - x lim x→5+ (x – 5)2

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

Q: 2 – 5x – 14 Evaluate the limit: lim - - x - 2 x + 2

A: Topic:- Limits Answer =  -9

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: Estimate the limit numerically for lim X4 x²-3x-4 4 3.9 3.99 3.999 4.001 4.01 4.1 X. x - 4 Lx2 - 3x…

A:

Q: If f and g are two functions such that lim f(x) as x --> a = + infinity and lim g(x) as x --> a = +…

A: Given: f &amp; g are two functions such that, To check if this statement is True or False

Q: 7) Show that lim = 1. 200 (z-i)3

A:

Q: Prove that lim -- (x + 1)

A: we have to prove that: limx→-1-5x+13=-∞   L.H.S:…

Q: lim h-->inf   10/ (h^2+100)

A:

Q: Find the limit x-5 lim x→5 x²-25

A:

Q: 7- x2 if x 2 Iff (x) find lim f (x). I→-1+ |

A:

Q: 3x e - е -3x e 25. lim -3x + e 3x

A: Finding the limit of the given expression

Q: To determine To find: The value of lim ( - →5 12-41-5 6(1-5)

A:

Q: (-x X- if x < 0 15) lim X-0 X if x 20

A: Given: limx→0-x     if x&lt;0x        if x⩾0 To Find: The value of the given limit

Q: lim In(10x) x-0t

A: To find the below right-hand limit.

Q: 4 ) lim- (x-.tanx 17

A: Use simple result of limit

Q: 4- Prove that lim- tan 2x 5-lim 2(-3+x)²-18) x-0 X-0 2.

A:

Q: 2. Find the imit lifany) メー5 X-25 lim X25

A:

Q: Find lim as x--&gt;0 (1/x((1+x)^1/3)) - 1/x

A: Refer to the question, we have to find the limit of the provided function (1/x((1+x)^1/3)) - 1/x…

Q: f(x+Ax)-f(x), Ff(x) = v2x + 1, what is the lim Дх--0 Ax

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: 9 – y². |-(16 * 10)x – (4 * 10) lim . -] + lim y--33 + y x + 10 x--10

A: Given,            limy→-39 - y23 + y + limx→-10-16*10x-4*10x + 10

Q: 1 lim In csch (1– 2x,

A: Let L is the value of given Limit

Q: In(3x) EXAMPLE 3 Calculate lim x → 00 SOLUTION Since In (3x)→ ∞o and In (3x) 1/x lim x → 00 = lim…

A: Topic = Limits

Q: 3 - If lim f(x) = 3.5 and lim,-2+ f(x) = 6.5 the function has a double sided %3D limit or one sided…

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.