lim h+지 %3D x In 3 lim (In3x -In(x +2)) = -00 %3D lim In 3 %3D

Q: 81 5x³ + 2x + 7 lim In x³ -11x2 + 55x + 10 (3)A (8+()+ s)l

A:

Q: lim x→−2 (3x^4+2x^2−x+9)

A:

Q: Find the limits

A:

Q: 8. (x - 1) dx √x lim

A:

Q: Ln(x – 2) - 5) lim X→2+ x-2* Ln(x2 – 4)

A:

Q: VE -1 lim エ→1 エー1 = 1/2

A:

Q: lim 5(2x – 1)

A: Here we have to evaluate the limit at x=0 for the given function f(x) = 5(2x-1)

Q: The total profit (in dollars) from the sale of x calendars is ... P(x) = 22x - 0.06x² - 400 %3D Find…

A: The sale corresponding to x calendars is P(x) = 22x – 0.06x2 – 400.

Q: lim x->infinity  6e10x

A: Given: -

Q: b) lim x-13 X-0

A:

Q: Lim   ( ((2x − 1)^0/5) − 3)/ x-5 x→5

A:

Q: lim 4e-4x

A: Using limit property we have

Q: 5. lim X-0 e2x-1

A:

Q: lim     ln(2x4+8x)-ln(5x3+7) x → ∞

A: Topic:- limits

Q: lim X → 00 (x²+2) sech(x)

A:

Q: lim x+0 v25 + 8x – 5

A:

Q: 3 x³ – 64x e. lim 5 .2 е. X + 2x

A: Topic:- limits

Q: lim V8+X -2

A:

Q: lim X+0 2x+ is (A) -3 (B) (D) (E) 2

A:

Q: lim x-x 10 √x + (Inx)¹0 +5 3√x + (lnx) ¹00 + 10

A:

Q: lim (2e3x+5)

A:

Q: lim 3X + x?+2 X-> X+ -2 2X +X2 V 3h +4 -2 lin!

A:

Q: 2021 + -x 8. lim %3D 20 +21 + v-x

A: Lim 2021+8-x2o+21+-x

Q: lim x csc 25x x csc

A:

Q: lim(16 – 2x) X6 A. 4 В. 14 С. -4 D. DNE

A: LetL=limx→6(16-2x)Use direct method.L=16-2(6)L=16-12L=4

Q: lim h→0  (7 + h)−1 − 7−1 h

A: Given function

Q: Evaluate the limit.

A:

Q: lim (8n² – 7n – 500) = – In³ -

A: The rational expression 1xq can also be expressed as 1xq=x-q. We know that limx→∞ 1x=0. We also know…

Q: lim 1_ x>5 x- 2

A:

Q: x - 6x +5 8. lim X5 x- 5 (-5+h)' - 25 10. lim h-0

A: Given: To Find: Value of limit

Q: x² - 4 lim 1-2 +2 O-00 O 4 O 4 O 2

A: Use  a2-b2=(a+b)(a-b)

Q: lim ex-e-7X

A:

Q: lim Un'tl-n):

A: Consider the limit limn→∞n2+1−n

Q: 3) lim Lnx .tanx x-0+

A: Use lim sinx/x and L'Hospital law .

Q: Evaluate the limit, if it exists:

A: LCM of (x+h)^2 and x^2 is x^2*(x+h)^2.Simplify the numerator using LCD.

Q: 3 5. lim x5+lnx x→0+

A:

Q: lim (x + 5)(2x + 5) 1) (x – 2) (b) x → * (3x + ·

A:

Q: Lim 4 ht X

A:

Q: 5. lim 5ª + 2³ª + [ln(ln x)] ¹⁰⁰ 7ª + 6ª + [ln(ln x)]200 xx 7x

A: To Evaluate: limx→∞5x+23x+[ln(lnx)]1007x+6x+[ln(lnx)]200.

Q: lim                 xx x => 0+

A: Given,

Q: 10x+4 lim x→+∞ 2x-1 X→+00

A: We have to apply limit for the given function Also 1/∞ =0

Q: 2x-1 4х-5 lim 4x+3) d) Xー

A:

Q: 3. lim 0 sec 03D

A:

Q: 2. lim (e* – 1)lnx

A:

Q: lim xx→9

A: We solve this limit by substitution We will plug x=9

Q: 3) lim Lnx.tanx

A:

Q: 4. lim (x- 5x- 2x – x² + 100)

A:

Q: 1 – sec(2x) 6. lim x→0

A: Topic:- limit calculation

Q: sec (2)7** b) lim ес x→+

A: We have to find limit

Q: 3x-2 lim 00 has 2x+1 O value 3/2 no value O value -2 O value 1

A: We have to find the limit: limx→∞3x-22x+1 This is ∞∞ indeterminate form. Simplifying the limit to…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.