162x – 216 lim -3 30x-40 - O 4.667 O 5.400 O 6.500 O 5.60 O 4.500

Q: In (e – 1) In x 34. lim

A: The limit which is to be evaluated is given by limx→0+lnex-1lnx

Q: If lim an 0o and En1 a, diverges, then E b, diverges O True O False

A: taking the an and bn such that the given statement is False...

Q: Evaluate 3+x lim,→4 (c-4)(x+2) O +∞ O 1 8.

A:

Q: Зх — 12 O Evaluate: lim x→4 3 – V2x +1

A:

Q: () - Va – Vĩ4 lim x → 14 · 14 (Use calculator and write your final answer in the given box)

A: Here I am attaching image so that you understand each and every step.

Q: b) Evaluate lim X-8 In(5x) In(2x-4)

A:

Q: Evaluate et-2 lim x→2 _x – 2 1 O +∞ O 1 O -00

A: Use l hospital rule for finding the correct option.

Q: 2. Evaluate the following: Va2-x² So Sa* x² ydydx а. xsin x b. lim-2cos x+e

A:

Q: 4x 4 lim,-1* - x-1 In x 4 3 5 1 O 2

A:

Q: 1. Complete the following table. lim 2016 lim r -2 -1/2 3.1416 10 /3

A: Evaluate limx→c2016 and limx→cx for different value of c.

Q: Calculate lim n4x Σ 11.4 n. 4n

A: Given   limn→∞∑i=1ni.4in.4n

Q: -e g). lim [In(6x² + 5) – In(3x² – 6)] h). lim ズ→の

A: g) limx→∞ln6x2+5-ln3x2-6h) limx→-∞e2x-e-2xe2x+e-2x

Q: 2) Calculate lim ( In(3x + 1) – In(2x + 1)). -

A: Since you have asked multiple questions, we will solve the first question i.e., Question-(2) for…

Q: 十、ロ-29 lim (エ)→ (4,16) エーVリ

A: Given;  Lim(x,y)-(4,16) (x2+x√y -2y)/(x-√y).

Q: Find the lim x→2x-2 x2-4 O 3/4 O 1/4 None of these O undefined

A: Given query is to find indicated limit.

Q: |2а — 10 lim0+ = 2 -x, x-5 O True O False ||

A: Statement is false can be prove using the property of greatest integer bracket and modulus of…

Q: . Compute (1+æ)(1+2æ)(1+ 3x) – 1 lim Preview will appear here. Enter math expression here

A: Solution  is given below

Q: lim 77V€ ot t

A:

Q: 8. lim xcot3x

A:

Q: 1-a limz→1 =? O -2 O 1 O Does not exist

A: find limit

Q: If lim azn = 72400 lim a2n+1 = L, then lim an = L 121400 1140

A:

Q: EValuatefollown Ween e il lintsthat ave 51Xス40n o + lim x?=X 100

A:

Q: In 1000 5 X limx→ +00 X

A:

Q: 3 15. lim V3h + 1 + 1

A: Given, limh→ 033h+1+1 We have to calculate given limit as follow :

Q: 9х + 6 lim 5x

A:

Q: 4х — 12 | 4. Evaluate: lim, →0 x² – 4

A:

Q: Evaluate |x2 – 4| lim x→2 x – 2 O 0/0 O 4 O -4 Does not exist

A:

Q: 2022 2. Evaluate lim,tx (1+

A:

Q: In(3x+5e") Q\ Find lim, In(7x+3e2x) O 0.4 O 0.5 poo o o

A:

Q: Evaluate the limit 9n4 + 13n³ – 5n – 10 lim 25n16 +5n2 – 9n n00

A:

Q: Evaluate х — 4 lim x→4 х2 — х — 12 undefined O infinity O 1/7

A: Given: limx→4x-4x2-x-12

Q: 2) let fcx)=メメ6, tind a) limfix) X-72 bllim fex? メー70 c) lim fox) メーラ3

A:

Q: 2. 12 e lim 212

A: We can apply L'Hopital's rule, also commonly spelled L'Hospital's rule, whenever direct substitution…

Q: Evaluate lim (æ)/(2-2) e/2 O 1

A:

Q: 52 + 5x lim

A: limx→05x2+5xx

Q: In (n + 1)2 Vn lim n- 00 Select one: а. b. C. -1

A:

Q: Evaluate 1 n + 22 lim n (n + 1) n+ 2. n + 2n -1

A: Introduction :We have to calculate the limit of given function :

Q: 1) Evaluate limT(x²-16) 4)] as X approaches 4

A: A limit is the value that a function approaches as the input approaches some value.

Q: In(5x + 2) In 3x Solve lim

A: We can find the limit as below.

Q: 11x?–13x Evaluate lim,→∞ 25x²– 28x+3 11 25 3 25 11 3 25 11

A: Topic:- calculus

Q: The question is shown in the image.

A: Given:

Q: 7 – 6* – 1 lim x→1 а? — 1

A: Here we have to find the value of      limx-->1[(7x-6x-1)/(x2-1)]

Q: roises: Evahiate the following. = lìm 1)(x-2)(-1-1-1-2) x+1 (-2)(-3) 1) lim I. (-2)(-3) -3x+2…

A:

Q: lim In(5x + 2x) – In(9x* - 4) In(5x² X → 00

A:

Q: 216 – x3 - lim x → 6 x – 6 - 108 O - 108 - 24 O 72

A:

Q: (a) In (3x + 5) lim x0o In(7x + 3) + 1

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

Q: Now, in in lim n → o n i = 1 30i -9 + lim n → o n 30 -9 + = 1 i = 1 But s -9= and i = 1 i = 1

A: limn→∞6n∑i=1n-9+30in=limn→∞6n∑i=1n-9+30n∑i=1ni=limn→∞6n-9n+30n×n(n+1)2  ; ∑i=1n-9=-9n  ,…

Q: Evaluate: Lö ( TI-1 2x Lim (e-1).

A: LimitLet DCR and ∂ :n D → R be a function. Let be limit point of D : A real no.L is said to be limit…

Q: 4 4. x + Ax lim Ax-0 Ax

A: Given: ∆x approaches to right hand limit 0 of 4x+∆x-4x∆x that is lim∆x→0+4x+∆x-4x∆x To find the…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.