(e) lim V4+ Vx-1 x0*

Q: 2.x – 3 - Find lim x→-∞ 4 – V5x² – x – 2

A:

Q: lim x→-0.5- Vx + 1

A:

Q: 2x +3 e that lim x2 + 5x 2

A:

Q: x-1 numerically. Vx-1 Estimate lim

A: Using rationalization method.

Q: lim as x approaches 4 from the right of 8-2x/|x2-x-12| a. 2  b.-2  c. -1  d. 4  e. infinity

A: The given expression is,

Q: lim, →2, 1 X – 2J2x

A: The limit of the function is given limx→21x-2∫2xx2dt1+t3. To check the limit of the function ,…

Q: V3x - 2 lim tan- %3D x + V3

A:

Q: e²x-2x-1 x² f(x) = a) lim f(x) x⇒0+

A:

Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1<x≤x Therefore, 2x-1<2x≤2x ⇒3x-1<3x≤3x . . . ⇒nx-1<nx≤nx ∴ (x + 2x + 3x…

Q: 1-x-x² (c) lim x+∞ 2x²-3x+1

A: The answer is given below:

Q: lim. Vx-1 х2-4) п-20+ \x2-4

A: To find the Value of

Q: lim (х — Vx? + х

A: Consider fx=x-x2+x. Simplify the above function. fx=x-x2+xx+x2+xx+x2+x=x2-x2-xx+x2+x=-xx+x2+x

Q: find: a) Lim x4-1 x2 b). Lim 10x-3 SinX

A: We have to find the following limit      alimx→1x4-1x2-1       blimx→010x-3sinxx

Q: H.W 3. lim V3X-3 X - 3 X # 3 X3

A:

Q: lim f(x) = %3D x-8-

A: We can clearly see from the graph that, f(x) is discontinous at  x = -8  But, if we move slightly…

Q: e7x + e-7x _ 2 lim x → 0 5 x2

A: Evaluate the given limit as follows. limx→0e7x+e-7x-25x2=e70+e-70-2502=1+1-20=00 Since 00 is an…

Q: Lim JX-J2 メ→ x²-4

A:

Q: Evaluate the limit.

A: Given:                     limx→∞e4x-1-4xx2 Dividing the numerator by highest power denominator:…

Q: x2-1 lim x-1 Vx-1

A: The given limit is limx→1x2-1x3-1

Q: 1+t-V1-t lim

A: To evaluate: limt→01+t-1-tt   if we substitute t=0, we get 00 (indeterminate form)   Consider…

Q: d- lim x+1 /V2x²+x+1

A: First take x common and then use l hospital's rule to find the answer.

Q: Vx+1- /2x x² - x 2х f ) lim x→1

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: x-2 lim Jx-2

A: Find the limit limx→2x2-2x-2.

Q: lim zx+xて Xー→3 メ-3

A: Apply L hospital rule

Q: V3+x-V3 is limx→0

A:

Q: lim x yields to 1  x-1/(square root of 4x +5)-3

A: As the given limit is not legible, the limit is computed in 2 cases. Obtain the limit as follows.

Q: (-x² – 6x–10 xs-2 1. lim g(x), where g(x)={ x>-2

A:

Q: (1 – V3x lim tan- 3 + x x-00

A:

Q: lim x approaches 0 (e3x-3x-1)/x2

A:

Q: (iv) Find lim r 2ª – x² sin

A: Limits

Q: x2 +2x+1 x(x+1) limg1

A:

Q: Example 48 lim,→∞(Vx² +x – Væ² + 5) =?

A:

Q: (込) 6. (d) lim x→3x-3 x² -9

A: Find the limit . Of [1/(x-3) -6/(x2-9)] when x tends to 3

Q: lim, (V+x+1 - V+1) – Vx² x* + 1

A:

Q: lim tkx'-1 k is a constant ト

A:

Q: x-3 lim Xx2 - 2x -3,

A: x2-2x-3=x2-3x+x-3        =x(x-3)+1(x-3)        =(x-3)(x+1)

Q: x² – 4x lim +-1 г2 — 3х — 4 I-1 x

A: Limit does not exist Explanation is given below...

Q: 1. lim )Gt h->0 2. lim xZ X-1 X>( X-I

A: here is the solution

Q: limd x²-1 = X- T2+*]

A: Given questions:           Question 1:                                     limx→1+x2-1=?…

Q: 2. x+3-16-11x-x ² Lim X-1 GAMA

A: as per our guidelines, I m solving only one question, please resubmit other questions To find1. lim…

Q: d: (a) lim ズー2 オー2--(*+1)

A: Answer:  The solution is as shown below:

Q: V2x(x-1) 3. lim-1 Jx-1|

A: Given limit, limx→12xx-1x-1

Q: Find the limits

A: Find the limits

Q: b. lim X-0* e -3/x 2 X²

A: Please see the attachment

Q: x2-6x+9 lim x->3 is equal to: x-3

A:

Q: e 3x limx→0

A: Ans :    we will use DL Hospital rule to solve this question.

Q: x²+x5-2y lim (xy)-(3,9) %3D x-

A: Given limit lim(x,y)→(3,9)x2+xy-2yx-y

Q: 2 ] (d) lim x-1Lx-1 x2 -1

A: Topic = Limits

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.