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: 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: x²+3x+2 b) lim x-1 x²-x-2

A: given limit

Q: Зх + 1 1 lim x→0 sin x 5 2 3 1 2

A:

Q: Q Lim X4 Sin 2x 2x²+x

A:

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

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.