Example-24) Find elA]x Where[A] = [ d-

Q: It O lim (2* +3^-)

A:

Q: 2 (х —1) lim 3 X 00 х+2

A:

Q: 2. O lim (-3+h)²-9 ニ

A:

Q: tan 2x 9. lim 2x

A: Explanation of the answer is as follows

Q: 4 2. lim 8 g० ४-०

A: Given,          limv→2v2-4v3-8

Q: Prove that = Aatilag (Elog Xi) An. %3D

A:

Q: Find the limit.

A: To find: limx→3x+1-2x-3

Q: Find the limits

A: Recall

Q: evaluate the limit.

A: Given  it can be written as

Q: lim Explain each Step.

A:

Q: tan? 3.x lim x→0 4x2

A: Given: limx→0tan23x4x2

Q: tan(5x) 2. lim 3x

A:

Q: Limit メ+5 メ→-5 |Jx-っ-4

A: To findlimx→-5x+5|x2-9|-4

Q: sin(Va-4) lim -16 16(-1)

A: For any real value of b, the expression, limx→bx is defined aslimx→bx =b . If limx→bf(x)g(x) takes…

Q: 21. f(x) on (-3, 5). x² + 5

A: According to question given thatf(x)=x2x2+5 on [-3,5]

Q: 2 --6 2. lim r-2 x2-2

A:

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

A:

Q: theorem if Yet, I think I

A: 1. Ax=h+p 2.∀x.Ax 1.Universal Generalization on 3. Ax→∀x Ax  1,2 Introduction.

Q: у3-у2-у-2 10. lim у-2 2у3-5у2+5у-6

A: Given: L=limy→2y3-y2-y-22y3-5y2+5y-6 For evaluating given limit, we use L hospital's rule According…

Q: et - e- е limr0 2 sin x

A:

Q: Example 13: lim x sin(é)

A: To find the limit (x tends to infinity) xsin(2/x)

Q: O lim +24 X.

A:

Q: 6x – 10,a -1

A:

Q: Lim メ+ -2 メ→O メ

A:

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

A:

Q: Solve y''-y'=xex using reduction of order. do not use formula.

A: Given: y''-y'=xex To find: Solution of given differential equation using reduction of order method.

Q: Solve for x. Show all work.

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

Q: O lim CoSX-05 X- x- 73

A: →When limit is of the form 00or∞∞ (Indeterminate form) , then L Hospital's rule is used. →In this…

Q: 2. 1+tanh² x 1 -tanh² x

A: To simplify 1+tanh2x1-tanh2x, use trigonometric identity, 1-tanh2x=sech2x. Substitute tanh2x with…

Q: lim t-4/|t-4|  ? t-->4-

A:

Q: 5) 증-글(cosy)x 2

A: 5)dxdy-x2y=-12cos yx3Bernoulli equation1x3dxdy-12x2y=-12cosy--(1)let 1x2=tdifferentiating both side…

Q: Find the limit.

A: Given limit: limx→7 5x-35x-7

Q: х+10 е. lim X2- x - 2

A:

Q: lim (sgn(x² – 1) + [x + 3]) = ? X→-- 2

A: see below the answer

Q: x

A: We have to find the exact value of the given according to the given information

Q: ) Lim Ji-x³ メ→1 TI-X° 3 2

A:

Q: Find Esin(X).

A: Given  X : 0, pi/4, pi/2, 3pi/4, pi We need to find E(sinX)

Q: lim (4x+cosx) / x ? x--->infinity

A:

Q: 9. 4. lim X-3 x2 - 9

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: 2х — 1 lim 12х — 1| 2

A:

Q: What is the domain of y = ln(x2 - x - 6

A:

Q: 19.) lim X+2 X+-2 X ³³+8 3 tiran

A: To find limit of the given function as x approaches to -2.

Q: (5х+6)(х- 2) lim x→-2* (x-2)(x+2) X -

A:

Q: lim xi-

A:

Q: Find the limit

A: Given

Q: Example: Evaluate (x+3)dydx.

A: Given that a double integration find value of this . We know that integration of xn is.…

Q: 6h 2-lim0 tan4h

A: Given that  the limit is  To evaluate the limit

Q: 22 xtan"x secx

A:

Q: Lim ģ G メ-ム

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

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: