Find the limits 2 lim x→0+ x/5

Q: Find the limits lim х2 — 1 as a. x→1+ b. x→1 c. x→-1+ d. x→-1

A: we have to find the limit    the given expression is

Q: Evaluate the limit x2 + 20x + 100 lim I→ – 10 x + 10

A: Solution:-      Step:I      Evaluate the limit.       limx→-10          x2+20x+100x+10

Q: Find the limit. 500 lim x→+00 ex i

A: From the given problem: limx→+∞x500ex So, we can also write as: y=limx→+∞x500ex Now take log on both…

Q: Find the limit V3x(x-1) lim→1 |x-1|

A: we have limx→1-3x(x-1)|x-1| this is 00 indeterminate term

Q: Find the indicated limit. lim x→1  x4 + 2\3x4 + 3

A: We have given to find limit  limx→1x4+23x4+3 =14+2314+3                        =1+23+3…

Q: Solve for the limit: lim \belowx → 3 x2-9 O a. 1. 54 c. 6. 1 54 O d. 1/9

A:

Q: Find the limit lim Vx – 4x +x -

A:

Q: Find the limits 4 lim x-0 x²/5

A: We know that, limx→0ax=∞; a is any of positive constant

Q: Find the limit, if it exists. 29) lim x+12x2 -5x 5x To X-0

A: First we have to factor out x from the numerator.

Q: lim 2x x→0+

A: We are given the limit : limx→0+eπx-2x1x Formula to be used here : If limx→af(x)=1 and…

Q: Find the limit. lim (Váx + 6 + 1)

A: The given limit is limx→56x+6+1

Q: 4. lim ) ズ→1 Xー1

A:

Q: Find the limit.

A: Given that limx→2 x3. Obtain the limit as follows.

Q: Find the indicated limit if it exists. 3-Vx+7 a) lim 2-x X-2

A:

Q: Find the limits 1 lim x→3+ X – 3

A: Given: limx→3+1x-3

Q: Find the limit.   Lim  x→1+      x1/1-x

A: Given function is By property of logarithm

Q: Use l’Hôpital’s Rule to find the limits

A:

Q: Find the indicated limit 2x lim( Vx +1 10)

A:

Q: lim 1-3メ) 2. X->

A:

Q: Find the limit L.

A: Given: L=limx→4x2+6

Q: Find the limits 1 lim x→0 x²/3

A:

Q: Calculate the limit.

A: Calculate the limit.

Q: ■ Find the limit.

A: Given: limx→∞ x2 - x4   To find: Value of the limit.

Q: 2. Find the following limits. Show your work. Vx2 + x – 1 lim (a)

A:

Q: V9x² + 1 lim x +1

A: Given : limx→∞9x2+1x+1

Q: Find the limit. lim (2 – x)3 tan(a) x→1

A: limit

Q: Find the limit L. Vx - 3 1 lim X 4 X- 4 L =

A: After the substitution of limits the function gives an indeterminate form 00.

Q: lim (In 2x + 5) + 4 X→ー1

A: Solution:limx→-1ln2x+5+4=ln2-1+5+4

Q: Find the limit. 4 lim x→-2+ x + 2

A:

Q: Find the limit. 8 lim x→7 3x + 4

A:

Q: Determine the following limits at infinity. 4x² + 2x + 3 lim x²

A: Consider the provided expression, limx→∞4x2+2x+3x2 Determine the limit of the expression. First, we…

Q: Find the limit. Vx +7-4 lim X-3 X-3

A: limx→3 x2+7-4x-3

Q: Evaluate the limit. lim I-+0 V1+ 9x – 1

A: To evaluate:  limx→0x1+9x-1 if we substitute x=0 in the limit we get x1+9x-1=01+0-1=00    undefined…

Q: Find the limit lim 1X+18X -X

A: The given limit is limx→∞x2+18x-x. we have to find the value of limit.

Q: Calculate the limit algebraically. lim (x +2) O -2

A: Given limit is  Since the function f(x)=x+2 is defined for x=2, therefore, we will evaluate the…

Q: 4) Find the value of each limit: х* + х —6 а. lim х-я х — 2х-15 x→1 | Vx – 1 lim х—1 х — 1 b.

A: The limit of a function is the value of the function when the arguement of the function tends to a…

Q: Find the limit. lim etan x→(3t/2)+ х

A:

Q: Compute the indicated limit. „2 x + 3 lim x00 x - 4

A:

Q: Find the limit. x* – 1 - lim x→0+ In (x) +x – 1 п lim ( 1+ n

A: These question is based on Limits.

Q: 2) Find the following limits if they exist. a) lim xVx* +1-x lim(x+e')% b)

A: We have to find out limit

Q: Evaluate the given limits: a) 2x3 + 5x² + x – 1 lim x→+0 e2x -

A:

Q: Find the limit lim x3 e-x2 X→00

A:

Q: (b) Find the following limit: 4x +5 lim x+2 2x -1 (i) (ii) lim 4 x+* x* -x' +2

A: The solution is given as

Q: 2/ Find the limit of the function lim X415 хъ Ч 2 X

A:

Q: Find the shown limit.

A: To Determine:  find the limit. Given: we have limx→511x-3x2+1 Explanation: we have a limit…

Q: 2x +1 メ-4 lim 2. X-0

A: L'Hospital rule is applicable only when f(x)g(x) become of the form 00or ∞∞ For applying…

Q: Find the limit: (b) lim Sx+6 x-2

A: