Evaluate the limit using L'Hospital's rule if necessary lim 15xe/x - 15x -

Q: tan 3x lim x→0 \ e2x – 1 3/2 O 1/2 O 2 O 2/3

A: Solution:GivenTo find the limit oflimx→0 tan 3xe2x-1=?Formula:ddxeax=aeaxddx tan ax=asec2 ax

Q: Use a table of values to estimate the value of the limit. If you have a graphing device, use it to…

A: Given function, Let us construct a table to find the limits. Since we are finding limit as x…

Q: Find the limit analytically. You must show your work. If the limit doe not exist, be sure to state…

A:

Q: For solving a limit problem lim f(x)¶*) which is in the form of indeterminate power, here are the…

A: To solve the indeterminant form which is of the form limx→af(x)g(x). This could be solved using by…

Q: Find the limit if it exists. lim V3- Vx+3 111

A:

Q: Find the limit analytically: 2-4x lim 40 5+3x 1.

A: Solution is here

Q: lim 1 + X00

A: Let, L=limx→∞1+1xxlnL=limx→∞ln1+1xx⇒lnL=lim x x→∞ln1+1x

Q: Vx2 – 9 4. lim х-з х — 3 X→3

A: Given limx→3x2-9x-3

Q: Find a Limit using factoring:

A: We have to find the limit using factoring: limx→1x2+2x-3x-1 This is 00 indeterminate form of limit.…

Q: Calculate the limit lim |x+2| / (x+2) as x is approaching 5000^-

A:

Q: 8(1-cos 3x) lim 7x2

A: we have to find limit

Q: 2. Write the equation of a function that is discontinuous at x=5, but lim f(x) exists, and is…

A:

Q: x-2 a) limy-2+ x2–4 - 4

A: We have to find limit

Q: Find the limit if it exists. Lim -2 (3x° + 2xª – x² + 7x – - 3)

A: For the following limit,

Q: . lim (3 – 2e

A:

Q: Find the limit if it exists. lim Vx² – 9 x→3+

A:

Q: Find the limit: Vx – 14 lim x → 196 196 - Give an exact answer or keep at least three decimal…

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Q: Find the limit. lim_ (x² + 2x) x--2

A: Solution

Q: Estimate the limit numerically. 3x² +270x+5 lim 2x+15 + oo

A:

Q: lim (4x – V16x² + 3x – 5 (4* Зх — 5 00-x

A:

Q: Find the limit. 5) lim /2x + 5 5) x-6

A:

Q: ollowing limits. lim 141

A: To find the limit limx→3-144

Q: Estimate the limit numerically. x+14x + 49 lim x+7

A:

Q: V4+x-2 lim

A:

Q: Find the limit 1-ex lim x+0 10x2 – 18x

A: Here we have to use the concept of limit.

Q: х— 1 В. lim Vx – 1 x→1

A:

Q: Find the limit: lim x° -1

A:

Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A: limx→23x−95x−25 Since we have an indeterminate form of type 00 Apply the L' Hospital's rule:…

Q: Find the limit: lim x° –1

A: The solution of the problem is given in the next step.

Q: find the limit or explain why it does not exist. lim 12 In (2 – Vi) -

A: We have to evaluate the following limit: limt→1t2ln2-t

Q: a) lim 3x2-10x5

A: Find the limit of 3x^2-10x^5 at - infinity

Q: Find the limit: x2-1 lim x-1x(x-1)

A:

Q: When finding the limit  lim x2 +5x+1/3-2x x-> infinity How do I find the limit?

A: Evaluate

Q: lim Sint tー 七

A: Given : limt→x2 sintt

Q: For solving a limit problem lim f (x)(*) which is in the form of indeterminate power, here are the…

A: We have given limx→af(x)g(x) which is in the form of indeterminate powerlet y=limx→af(x)g(x) taking…

Q: X -1 lim х - 1 X-1 X,

A: We have to compute the limit  limx→1 x-1x-1.

Q: find the one-sided limit ( if it exists)

A: The given limit is,

Q: Estimate the limit numerically  limx→4 √x−4/x−16=

A:

Q: Compute the limit. Justify your answer. 5x3-12x2+38x4– 19 lim 28x+19x-58x2-7 X- 00

A:

Q: Use L'Hôpital's rule to find the limit. 3x - 1 lim 3 x³ + 4

A:

Q: Use L'H rule to find lim (1 – 2x)/*. -

A: Question is solved.

Q: Find the limit L. 2x2 + 8x + 6 lim X--3 x + 3 L =

A: Factorise 2x2+8x+6 2x2+8x+6=2x2+6x+2x+6                     =2x(x+3)+2(x+3)…

Q: Find the limit if it exists. Lim, 19 (x)

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Q: Find the limit. limx 0 √(x2 + 4)

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Q: lim (-Y" 2. スーラ ル

A: Sure.

Q: Find the limit (if it exists). If it does not exist, explain why.

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Q: Evaluate the limit 5 + 2x lim 8 – 8x x → 0

A: We haven the function is: f(x) = (5 + 2x)/(8 - 8x)  Dividing the numerator and the denominator by x…

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

A: The expression limx→03x-12x-1. We have to find the limit of this given expression by using…

Q: Find the limits using any appropriate method. ex-e-x-2x 4.4 #40 lim x-0 x-sinx

A: