3x+7 sin2x x+x.cosx 1- lim- x2-2 lim 2x2+x 3 - lim- x→0 2 - 00+X x→0 sinx.cosx 1 lim x-1- 1-x2 x-3 4- 5 - lim 4x2+25

Q: x²-2x-3 lim a. (x-3)3 2-2r-3 x-3 (x-3)' x² - 2x-3 b. lim x² - 2x-3 lim 33 (x-3)3 c.

A: x→3+ limx2-2x-3(x-3)3=x→3+lim(x-3)(x+1)(x-3)3=x→3+limx+1(x-3)2=∞

Q: lim         q-3-7q-6             q----∞      2q-4 +4q-3 -10q-3

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: lim    (5e2x-3e-4x)/(6e2x+2e-4x) x → −∞

A:

Q: Compute x-+xX lim X-700 It Ttx Sinx 2) Lim X-70 CUSX-1 X3-1 1L-X

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

Q: x2 - 3x - 10 s 0 ² - 10 s 0 O [5, 0) (-0∞, -2] or [5, ∞) O(-00, -2] O(-2, 5]

A: Topic = Inequality Correct Answer [-2,5]

Q: lim x→∞ 2x/ √ x2 + x

A: Given,          limx→∞2xx2+x

Q: 2 cos(8x) – 8 x² – 2 lim - sin(3x) — 2? — За

A: Here we apply l Hopital's rule.

Q: ) lim Sin (x3x+2) メーラー x3+1

A:

Q: (sinx -) tan*(5x) Q3/ 1)- lim, 2)- limx-0 (3sin?x -sinx +1) x sin3 (2x)

A: There are multiple question. As per Bartleby policy Kindly ask other question separately.  Given…

Q: 3 Lim x40 Cosx (2 Cos²x - 1) Cosx -

A:

Q: lim x-0 (cos20x) 7/20x^2

A:

Q: Factor f(x)=2x^3+5x^2-83x+40 into linear fuctors given that -8 is a zero of f(x)…

A:

Q: lim x+7 equals x→-7* x+7

A: Here we will focus on right side of -7 or better say x>-7.

Q: sin3x d) lim x→0 + lim cos x + lim 2x² x→2 x-3

A:

Q: e2x - e 2x 3. lim, 0 sinx

A: To evaluate the given limit.limx→0 e2x-e-2xsin x

Q: x²+3x+2 b) lim x-1 x²-x-2

A: given limit

Q: VZx+10+ V-5x+10 lim 8. →ー1 十1 - 2x3+ 3x-5x+1 lim 9. *-2 +4

A: It is given that     limx→-12x+103+x2-5x+10x2+1 We have to evaluate it.

Q: x²-7x+10 1. limx-2 x-2

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

Q: x + sin x 5. lim x 2x + 5

A: We have to solve:      limx→∞x+sin x2x+5

Q: Зх + 1 1 lim x→0 sin x 5 2 3 1 2

A:

Q: 1) lim X-2 2x-4n x(1-cosx) 2) lim х-0 tan(tan?x)

A:

Q: Q Lim X4 Sin 2x 2x²+x

A:

Q: lim X→+00 x +3 x-3 x²+1 x-1

A:

Q: 2х-п lim =? COSX 2

A: We can use differential calculus to find the solution. When we directly apply the limit we get an…

Q: x² + 8x - 9 x1 x³2x² - 5x + 6 t³7t² + 16t - 12 t4 - 4t³+ 4t² 4. lim 5. lim t-2

A:

Q: 4x+sin x lim x→02x - sin 3x

A: We have to solve given problem:

Q: x+6 lim x--6t x+ 6 lim x6 x6 Jx 6 lim x6 x6 =

A: If x-> -6^+ then x>-6That means x+6>0So, |x+6|=x+6Answer(a): limit x-> -6^+ |x+6|/(x+6)=…

Q: (sinx -) (3sin²x -sinx +1) lim TE +X, 2

A:

Q: Find lim x→-3 sin(−4 π x)   lim x→-3 sin(−4 π x)

A:

Q: 2.r + x sin 3.x 1. lim * 5x - 2x +1

A: Here we find limit

Q: 1 lim 2 -1 x* -1,

A:

Q: 3x lim 2х +1 x→-00

A:

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.