4. Compute lim x – Vx2 - 5 Your answer

Q: V1+ 3x – 1 lim

A:

Q: 4. Evaluate the following limits: а. lim (Vx2 + 5x +x

A:

Q: 1. Compute lim. ( ). 1 x→2+ 2 x² – 2x. where c is a real number. You may need to discuss according…

A: limx→2+1x−2−cx2−2x

Q: 2. Select the best answer below: lim (2x-13 X (-1)* O -2 O does not exist

A: We have to find the limit and select correct option

Q: can this be evalnated by using L'HOSpital's Ruie? lim Trxln(x) Itxen(x) (メ-)nx

A: The given limit can we evaluated by using algebra of limits.

Q: evaluate the limit lim x→2π     (xsin(x) + x2 − 4π2)/(x − 2π)

A:

Q: 5. Use the Squeeze Theorem to evaluate lim sinz 1-00

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 23) Evaluate the limit: 4x² + 9 lim x→∞ x² – 4x

A:

Q: Evaluate the following limits. 2- Vx lim x-4 4-x 3.

A: Given limit, limx→42-x4-x

Q: 3. Evaluate the limit of lim(x² + x + Vx + 1) x→3

A: A limit of a function f(x) is defined as a value, where the function reaches as the limit reaches…

Q: 1. Prove lim, n+2n³+7 2 0, using the definition.

A: I have used only definition of limit of sequence

Q: Show that 2n lim n+2 = 2,

A:

Q: 3. lim (4x+1) wt x

A: Given that;  Lim x-0+  (4x+1)^cotx

Q: Show that lim n->∞ (1 + x/n)^ n = e^x for any x

A: Express (1+ x/n)^n using e in the base

Q: 10sin (Tx) In (xº) q(x) What is lim g(x)?

A: solution :

Q: Use the graph to compute the quantities asked for. ... -3 -2 A. lim Ax) = %3D B. lim (x) = %3D

A:

Q: 3 . If f(æ) then lim hm f(z) Enter your answer as

A: We have to find out

Q: 4. Find the following limits: (a) (b) 2 lim-3 x-3 - 2 4 3-x 12x - 4x² lim x3+x² - 6x +9 1

A:

Q: Evaluate the lim x>0 Vx+1-1

A: Solve the given

Q: Evaluate the limit: lim Vx – 12 x→12

A: The above question is answered below

Q: 4. Evaluate the following limits: 2x2 – 10x + 12 (a) lim x→2 x² – 12x + 20

A: Given: a)  limx→22x2-10x+12x2-12x+20

Q: 1. Use the definition to establish each of the followii (a) limx→2(2x– 7) = –3 (b) lim→1 T = (c)…

A:

Q: For which value of c does lim -3 exist? You Answered 3 Correct Answer O None of the given choices

A:

Q: 2. Evaluate the following limits. x2-4x+4 a. lim x→5 x*-8x³+24x²–36x+16

A:

Q: evaluate the following limits (x+3)3-27 limy -20

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

Q: 5. Evaluate the following limits. 1 а. lim X→4+ x-4 3-x2 b. lim x→∞ 2x²+1

A: step -1  a) limx+ 4+1x-4 for x approaching u from the right x> 4  x-4 >0 the denominator is…

Q: Evaluate the following limits: 14и+1-3 a. lim u→2 и — 2 e4x -1-4x b. lim x -4x + 2x – 7 c. lim 8х*…

A: We are solving (a) question for you. If you want solution of some other question than please mention…

Q: Find the Linmiti lim (xt +2X) メ→ - o

A: Limit of a function.  End point Behaviour.

Q: 3. The notation lim f(x) is read

A: The notation limx→4f(x) is read, The limit of f(x) as x approaches 4.

Q: 8. Find the following limits: 4-de* a) lim X+0 xex b) Jim (-)

A:

Q: 7. Evaluate the following limits. (a) lim x-VX nx- Vx² +7 | (b) lim (2x+ V4x² +x

A: We have to find the  limx→∞  ( x-x2+7 )=limx→∞ ( x-x2+7 )(x+x2+7 )(x+x2+7 )=limx→∞(x2-x2-7)(x+x2+7…

Q: Use the Squeeze Theorem to evaluate [2 lim cCs X x +3

A:

Q: 1.3 Evaluate lim using the laws of limits. 140 V1+ 3x – 1

A:

Q: Use the e-8 definition to show that lim VI = 2. Z-14

A:

Q: 6. Use the e, 8 definition to show that lim,2 x + 1 x+ 3 emlin

A:

Q: 3x lim x→∞ √x²+1

A: We can evaluate the limit as below.

Q: 14. Evaluate the following limits. a) lim (x² + 2x – 3) X-0 b) lim (x3 – 2x² + 3x + 4) X-

A:

Q: Evaluate the limit lim 1/ √6y + 1y→4

A: We find the limit by substitution

Q: 2.) Evaluate the one-side d limitss lim Jx+7 = メラー7 lim xキ7 - メーマー7+

A:

Q: 7x2 + 10x a3 – 1. lim x→2 x2 + x – 6

A: Given, limx→2x3-7x2+10xx2+x-6

Q: Evaluate the limit. 4 lim + 2 (x + 3)? x → – 3

A: Consider the given limit, limx→-3-4x+32+2 now, apply the rule of the limit that is the limit of a…

Q: Evaluate the limit.

A:

Q: B. If k is any real number, prove or disprove that sinkx 1. lim x-0 kx = 1.

A: We will prove this by L'Hopital's rule

Q: Evaluate the limit 4 lim V4 y - 4

A:

Q: Use the –δ definition to prove that lim x→1 (3x + 5)/2 = 4.

A:

Q: x²-4x-5 B. lim ズ→5 ズー5

A: first of all factor the numerator, then apply the limits

Q: What is lim (x? – 4x + 5)? O 1 O 2 O does not exist

A: To find÷limx→2 x2-4x+5    limx→2 x2-4x+5=22-42+5                           =4-8+5…

Q: Prove rigorously that lim (x2 – x) = 6. x→3

A: We have to prove  limx→3x2-x=6 Now let  L=limx→3x2-x