х-1 а) lim х-2 (х-2)*

Q: 13 + 6х + 7 (а) lim Зх - 8 1 (b) lim 3 (т — 3)2 1 (с) lim +5 5 - х

A: As per the instructions, we will be solving only the first three subparts. For (a),     limx→∞…

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Q: (6,5). (1.4) (-4,2), (6,2) -2 6. 8 -2 9(1-2) lim f(z) = I4-4- -4 00 4.

A: Given the above figure. To find limx→-4-f(x)

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Q: 1. lim x2 +1 = 2 ズ→0 (x-2)2 2. lim X2 (x-2)(x+2) 3. lim (5 -)

A: Put the limit in function

Q: 16. lim (2 – 3x) = –4 x → 2 %3D - 19. lim (1-3-) -- 3 20. lim 2 = 7 x → 5 21. lim x2 – 2x – 8 = 6 x…

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Q: lim xS0 cos2x - cos x / x^2

A: To find: limx→0 cos2x-cos xx2

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A: Given: L=limx→0sec32xcot23x

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Q: 1) lim (tan x) cos x X-2

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: 22- iz lim 23 +1 10 -1 0 20 00

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Q: Lim 1- Cosx て X-)0

A: Given: L=limx→01-cosxsin2x We know that 1-cos2x=2sin2x…

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Q: 4.x - 1.) lim 32 1 — ебх-12 1+ 3x – cos x 2.) lim tan x

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Q: x+1-cos²(x) 3sin(x) 7. Find lim

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Q: السؤال 1 lim iz?-z z-- z2-1 i o -i O 1 0 -1 O

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Q: 19 sin(2 x) lim X- 0 9 tan(18 x) lim X- 0

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Q: lim (sec³ x – tan n³ x)

A: We have to evaluate the given limit: limx→π2sec3 x-tan3 x We know the identities, sec x=1cos xtan…

Q: 47. lim -4 3x-5x +7 8+2x-5x 2-2 48, lim 49. lim

A: we have to solve given problem;

Q: 35. lim (sec 2/2 x – tan æ)

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Q: ) Lim Ji-x³ メ→1 TI-X° 3 2

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Q: lim cob lo) -の

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Q: 2 sin(z) – sin(2z) lim -10 z- sin(z)

A: We use L'Hospital rule to solve this limit problem.

Q: Lim sec(2x). tan(3X)

A: We have to find the limit.

Q: sin(3) (x – 6) – 3sin(x – 6) lim x-6 (x – 6)2 + 2(x – 6) + 3 – 3e*-6

A: We have to find the limit.

Q: ANS: (d) |z - 3| lim 243- 12 6 - ANS: -

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

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Q: 91_در lim 2-3 z²+4z-21 LIMIT VALUE: lim 2--1 LIMIT VALUE: lim (x³ +7x² - 2x + 4) 2-2 LIMIT VALUE:…

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A: Given- limx→02sinx-sin2xx-sinx To Find- The valuie of the limit.

Q: tan(3z) lim 5z z-0 sin(n)(1-cos(h)) lim h-0 sin(h)(1-cos(h) lim h-0 h3

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Q: lim) X+7 9 lim (2th) 2_2? h-70 lim coS X X-70 lim 4-x2 X-> 2 3-TxZ+5

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Q: 10 sin(0-5) Find lim 0-5 02-20–15

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Q: Use formal definitions to prove the limit statements in Exercises 95–98.

A: We know that in a fraction, as the denominator becomes greater while keeping the numerator the same,…

Q: 1. lim re-4 u-Vu -2 2. lim

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Q: 19 lim I-3 T+3

A: It is given that, limx→-3+x3+9x+3We have to evaluate it.

Q: 3] x+8 - 2 i lim

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Q: lim cos xx x-0

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Q: Lim ģ G メ-ム

A: We have to use L' Hospitals rule ,if we get any indeterminate forms (00,0×∞, ∞∞,∞,-∞) when we…