х2 — 1 lim х+1 х2 + 3х — 4 О 4/5 О 35 O 1/5 О 2/5

Q: 1+3+... + (2n + 1) Calculate lim n2 +n n00

A: The sum of the consecutive odd number is ∑n=0n2n+1=n2.

Q: 1 1 lim x→1 2 In x 2x-2

A:

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: +h)4-44 Q 9 Compute limh-0 h

A: To find:

Q: 1- cos(2x) lim x→0 х-0 1 — сos(6х) 7* – 6* – 1 lim x→1 х2 — 1

A:

Q: e – 2x – 1 Compute lim 4x O e- 3 4 1 4 4 undefined 3 4

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: 1-e* lim *0+ 2x2 - 00 None of these 1 8. O O O

A:

Q: ze" – In(1+#) lim

A: To evaluate the given limit.

Q: 10. lim( +1-V +1-)

A:

Q: 8. lim xx = 1 00-X 9.lim (1 – 2x)x = e¯2

A:

Q: 1 1 t 3– 5/t2+81 4 lim 3 2/t2+Vt2-16 7 X--00

A:

Q: 3. lim Vx+3x + 6 X-2 -1.9 -2.1 -2.01 -2.001 -2 -1.999 -1.99 fx) . lim X--2 x+3x + 6 =

A:

Q: 1 3. lim 8 (t5 + 1)2

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Q: 1+1 lim 11m +51

A:

Q: 9n – 5 a) lim n-- 3-n - 18 1 2n2 + 3n – 5 8n? +1 1 b) lim n- o0 || 4

A:

Q: In x lim 4!n e %3D In x -

A: Our is to evaluate the limit using L' Hopital's rule given below:-

Q: ズ→27 7. lim v3x2 – 2x + 8 ズ→2 8. lim vx (2x) ズ→20 x+5 9. lim -15 V 2

A: Given query is to find indicated limits.

Q: Evaluating limits Evaluate the following limits, where c and kare constants.

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

Q: 9. - (a) Compute lim I--3 I-3 sin (0) 0 0 2 cos2 (0) -2 (b) Compute lim 1 (c) Compute lim I-0 I -

A: a. limx→3x2-9x-3limx→3x+3x-3x-3  x≠3 ,a2+b2=a+ba-blimx→3x+3=6b. limθ→0sin2θ2cos2θ-2Using L hospital…

Q: 1 2e-z limte e. O o0 O 0° O 100

A:

Q: 1 3. lim coS x 14. x-0 5. lim 4x+7

A: Given query is to find indicated limits.

Q: S 1. lim 2 I- I - 2 1.9 1.99 1.990 2,001201 | 21. 12 2, lim 19 1.99 1.999 201 1211

A: Please see the explanation below

Q: 9. lim e 10. lim e sin 6x 11. lim 5*+6 12. lim

A:

Q: 4. 7. x² –7x+12 5. lim x →4 (2+h)² – 2² lim h→0 lim 9 х-4 h x →7

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

Q: 16-2 Evaluate: lim +4 V12+-a dne O 2 12 3 14

A:

Q: 9+5n 4+ 5n Calculate lim 7+ 5n n00

A:

Q: 1-e-* lim x→0+ 2x2 -00 00 O None of these 1 || O O O

A:

Q: 1 1 t 3– 5/t2+81 4 lim 3 2/t2+Vt2-16 Z X→-00

A: The given expression of limit is:…

Q: 1 1 lim 2+h__ 2 h→0 h

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

Q: 1 1 11. lim -1-T+1 (x+1)² + 3]

A: Given limx→1-1x+1-1x+12+3 we need to evaluate the limit Substituting x as 1 11+1-11+12+3

Q: solve for x if CDy=4(x-E)

A:

Q: 8. 10. 11. х2+6х-7 lim x →0 —х2 +7х -12 lim x →3 lim (3x – 2) x →3 - х-3 х-1 15. 13. 14. 2х3_54 -4…

A: Given that some limit problem and we solve this problem by using general property of limit.   Here i…

Q: 1 2 1 + lim Р-(-1,2,0) х- 2 у -5 z+4 II

A:

Q: 40. lim- 0 1-el/E

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Q: 2 – 1 | lim X→-1 elx+1)² – 1 | - 1

A: When limit is of the form 00 or ∞∞, then L'Hospital rule is used.In this rule, take the derivative…

Q: 2つi 2×+1 Find Lim レ わサズ

A:

Q: lim (2,1) (0,0) (1 + (x² + y²) In(2² + y²))

A:

Q: /10-х - 2 8. lim x-2 х+2 А. 1/12 В. -1/12 С. -12 D. DNE

A: The given function is 10-x3-2x+2. We have to find the limit of the given function at x=2.

Q: 43. lim 21/" = 1 n00

A: Given limits limn→∞21n=1 Taking L.H.S of the given limit limn→∞21n Apply the limit n=∞…

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: 1. lim 目 2+1 is 2.

A:

Q: х2 — 25 а) lim x→-5 х2+ 2х - 15 х2 — 4х — 21 b) lim х>-5 Зx2 — 17х — 28 х2 — 2ху lim c) (х,у)-(2,1)…

A:

Q: 1 (iii) lim I-bt 6 – x

A:

Q: n lim (5(x;) – 3(x;)*)Ax over [0, 2] i=1

A: To convert this limit of sum as definite integral over given interval.

Q: Find the limit.

A:

Q: 3 lim h→0 3h + + 1

A: Here we have to evaluate limh→033h+1+1