Evaluate lim f(x), where f(x) = e value of "p" assuming that lim f(x) exists. Nx + (M + 77) if x<5 (N-px if x25 p" is any constant and also find Evaluate: lim (+13x+4 (-M 2x+5x-12

Q: Find the limit for when x -> 4 lim F(x), for f(x)= x2+2 ; x≠4 ; 27; x=4

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Q: Evaluate the limit. x² +3x - 10 lim-5 2x + 10

A:

Q: 3x -4x b) lim X→-00 x2-2x3

A:

Q: (a) Estimate the value of lim x→ - infinity square root x^2+x+1   +1 by graphing the function…

A: Solution(a)To evaluate:  limx→∞ x2+x+1 + 1 by graphing the function------------------------fx…

Q: Find the limits a) lim x2 - 4x + 3 x2 - 1 when x approaches 1 b) lim 6x + 100 7x2 100 when x…

A: We have to find the limit

Q: Find the limit L.

A: To FInd:limx→6 3

Q: Evaluate the limit.

A: If we substitute 2 for x in the expression it gives the form as which is an indeterminate form.

Q: find the limit or explain why it does not exist.

A: The limit shows the function behaviour at given point. The value of function for a given limit is…

Q: Vx+14-4 Find the value of the limit, lim- x-2 x-2

A: SOLUTION-

Q: Find the limit. 3 lim x-6 5x + 2

A: The given expression is limx→635x+2. We have to find the limit.

Q: Find the limit if it exists. a. lim -) x→-00 5x3+1 b. lim х-0о 10х3-Зx2+7 5x2+2 С. lim x→∞ Vx2+3

A: Limits of function can be found by simplifying the function and substituting values for x as given…

Q: Find the limit L. 2x + 10x + 8 lim X→-4 x + 4 L =

A: Solution-

Q: Hence, find the value of lim f(x). x→-3 lim f(x) Enter your next step h x→-3

A: Given,          Consider the graph of a function, fx , shown below :

Q: Find the indicated limit if it exists. √x+4-2 a) lim X-0 X 8x³+27 b) lim x-1.5 2x + 3

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Q: x² + x lim * + 2x + x³

A:

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  5x2…

A: Consider the given function:

Q: If lim f(x)=-2 and lim g(x) = 2, what is the value of lim [f (x)+2g(x)]?

A: Given, limx→afx=-2  and  limx→agx=2

Q: a. Evaluate limx→5 f(x), where f(x) = { 11x+ (2 +77) Ef x5 f(x) exists.

A: solution is given below..

Q: Find a number b such that lim- .2. x²-4 =2 x-b x-x -2

A:

Q: find the limit or explain why it does not exist.

A: We have to find the limit: limx2+5x+5x3+3x2-11x For the given condition, a. as x→0 b. as x→3.…

Q: Find the limit. lim              x2+5/5x3-2 x→+∞

A:

Q: Find the limit L.

A: limx→23x+2

Q: x³ - 3x² + 2x Evaluate lim - using l’Hôpital's Rule and then х — 2 check your work by evaluating the…

A: Given, limx→2 x3-3x2+2xx-2

Q: what is the lim x->0  f(x)-f(0)/x^2 if f(x)=2x^2+1?

A:

Q: Find lim_f(x), if it exists. If it does not exist, explain why. X--4"

A: Follow the procedure given below.

Q: find the lim as x approaches infinity where

A:

Q: Jx +3 Find the limit. If it doesn't exist, explain why. lim x->9 x-9

A: limx-&gt;9x+3x-9

Q: Find the limit. 4 lim x→-2+ x + 2

A:

Q: (b) Given that lim f(x)== 2 and lim g(x) =4 , find the limit x→2 x→2 1 lim 3f(x)- Vg(x) x→2 Using…

A:

Q: If lim (x approaches 6) (f(x)-4)/(x-3)= 2, how do I find lim (x approaches 6) f(x)?

A: We separate the limit first.

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

A: limx→0-xx

Q: Find the limit L. 2x+12x+ 10 lim x+5

A:

Q: Find the limit lim, x2-4 Does the function have a vertical asymptote? If yes, what is its equation.

A: Vertical asymptotes are vertical lines that correspond to the zeroes of the denominator of a…

Q: Find the limit x-5 lim x→5 x²-25

A:

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: if Væ² – 5x – 6 < f(x) – 1 < v6² – x² then find lim f (x) - | - x-6

A: Given:x2 - 5x -6  ≤ f(x) -1 ≤ 62 - x2To find : limx→6f(x)

Q: Find the limit. x² - 25 lim x 5 x²8x + 15

A: We need to find the limit:limx→5x2-25x2-8x+25

Q: Find the limit. /x² +3 - 2 lim X- 1 X1

A:

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→−7  x2…

A:

Q: Divide the numerator and denominator by the highest power of x in the denominator to find the limit.

A: Part(a)The highest power of x appears in the denominator as x. Hence, let's divide the numerator and…

Q: Estimate the limit numerically if it exists. (If you need to use  or –, enter INFINITY or –INFINITY,…

A:

Q: Evaluate the limit lim x² + 4x – Vx² + x ) and interprete the result in relation to x 00…

A:

Q: Evaluate the limit. x2 + 2x – 15 lim- x – 3 X-3

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Q: Q2: Use lim x 0 and lim x 0 to show that lim x = 0.

A:

Q: 2f(x) + 3x – х — 1 15 - Suppose that lim 5. Find lim f(x).|

A:

Q: Find the limit lim x →∞ √1+ 2x + 9x² -2x + 5

A: This question is related to limits, we will solve it using given information.

Q: (b) Given that lim f(x) == 2 and lim g(x)=4 , find the limit x2 1 lim 3f(x)- Vg(x) x→2 Using the…

A: Given thatlimx→2f(x) = 2  and limx→2 g(x) =4    and we have to find the value of the limit…

Q: Find the limit x lim- +x+2 X + x +1

A:

Q: Evaluate lim X→∞ ९+2 1 - x³ ( if necessary, using L'Hôpital's rule)

A: limx→∞ex21-x3Apply L-Hospital rulelimx→∞2xex2-3x2limx→∞2ex2-3x