4 +х — 2 lim x→0

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

A:

Q: VE + t? 2 19. lim 2t - t2

A: Given: limt→∞t+t22t-t2

Q: За - 2 lim x3 - 1 O 2 O does not exist 13 8.

A: lim      (3x-2)/(x3 -1) x -- ∞ here ∞/∞ form so we use la hospital rule we differentiate above and…

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

A:

Q: Evaluate I (n +) lim as n → 0 Vn[ (n + 1)

A: We have to evaluate limn+32n⋅n+1 as n→∞ that is limn→∞n+32n⋅n+1 We know that n=n−1! Hence,…

Q: 1 | h + 4 lim 4 С. h→0 h

A:

Q: mx + 1 1 Find m if lim x +2 x² + 1 O 3 O 2 O 1

A:

Q: 1 1 1 Lim T2n2+1 + V2n2+2 + V2n²+n]

A: Given- limn→∞12n2+1+12n2+2+..........+12n2+n=12 To Prove- That the above mathematical statement.

Q: Find the limit

A:

Q: 6x c) lim 10 4r – 7

A:

Q: 21 – 17x + 35 x- 5 3 lim .. A. D. 9 В. 5 С. 7 Е. 11

A: We can make it easier for you.

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: 22 -y2 =? lim (z,1) (0,0) +y? O A. 0 O B. 1 OC. -1 D. Does not exist Reset Selection

A: Explanation of the answer is as follows

Q: 2+49 –7 5. lim x→0 x2

A:

Q: x² + 2ix + 3 lim 1² +1 lim ol z) do not e

A: Using L'Hôpital's rule,

Q: 10. Vh +1-1 lim h→0 h

A:

Q: (금 1 Evaluate L = lim T→2 + x² – 5x + 6 -

A:

Q: (a) im z6メ+5) メラ-S メ-25 lim メマロ Siho) tim 3メニ2 メ行ー

A:

Q: 1? — х — 12 lim x→3 x² – 9

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

Q: 4. lim z--00 4+r²

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

Q: 1 lim (2 x→+∞ x3 Select the correct response: |

A:

Q: 5x + 27 20 + 10x + 9 Evaluate lim O Undefine O 1 O 1/4 оз

A:

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

A:

Q: 4x e lim x→0 r2

A: The series expansion of ex is ex=1+x1!+x22!+x33!+x44!+...

Q: 1 1 (x + h)² 32. lim h→0

A: Consider the limit

Q: бх — 2, х < 2 3. limf(x) for f (x) = x-2 %3D 13x2 -1, х 22 |

A:

Q: (2x 1, ifx <-2 if x 2-2 %3D 5. lim X-2 (x + 3, .3

A:

Q: a) Evaluate V9x(x² – 3x +2) lim (3х — 3)

A: To find the limit:

Q: Find the limit

A: Given limx→0  1x+4-14x

Q: B. lim, 0+(1 + 2r)In(2=)

A: Given: limx→0+1+2xln2x   As we know from the limit rule; If the limit is limx→afxgx and it result of…

Q: e? – 1 – z lim 2 z-0

A: The given problem is: limz→0ez-1-zz2

Q: 1 2 lim x – 1 a² – 12

A: Answer is 1/2

Q: 1 1 lim 2+h__ 2 h→0 h

A: We have to just simplify this limit to get the answer.

Q: q(x²) – q(1) lim x – 1

A:

Q: ex -e* lim 4 x-2 x-2

A:

Q: 4x 4 lim, -1+( - x-1 In x 4 1 O 2 3.

A: Given : limx→1+4xx-1 -4lnx

Q: -10 10 +1 lim z6 +1 10 4 5 3.

A:

Q: Q27. The value of lim x-0 (1+x)5-e5x+sin x² x2 is? →

A:

Q: 399. [T] lim e(x - 1) x-1 x-1

A:

Q: 1-Vx+1 lim X →0 x+9 – 3 -3 -6 6. 3 O does not exists

A:

Q: 1. lim (x2 + 2x -3) オ→4 3.9 3.99 3.999 4 4.001 4.01 4.1 f(x) lim (x2 + 2x - 3) D Xー→4

A:

Q: 1 — е‑ 2. lim x→o 1+ e®

A:

Q: السؤال 4 lim z2=

A:

Q: In(x), 5 s x s 16 f(x) A = lim n- o 2 i = 1

A:

Q: ー4 1. lim もラー2 t+t+ 1 to

A: limt→-2t2-4t2+5t+1 Plug x =-2 in it (-2)2-4(-2)2+5(-2)+1 Simplifying we get 0/5 = 0

Q: Зx2 — 5х — 2 lim x→2 In(x – 1) - is | (А) 7 (В) 8 (С) е2 (D) 0 O A O B ос O D

A: Given: limx→23x2-5x-2lnx-1 To find the value of the given expression 3x2-5x-2lnx-1 where x…

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.