lim x approaches 4  ...........  (4 - x)/[5 - (x^2 + 9)^1/2]

Q: lim_(x->1^(-))f(x)={x^(3)+9,x<1}

A: To find: limx→1-f(x)where f(x)=x3+9, x&lt;1. Calculation: We need to find the left hand limit of x=1…

Q: lim x approaches 2 (-x^2 + 5x - 2)

A: Given, limx→2-x2+5x-2 To solve the above limit.

Q: 1. limx→1 x-/2-x2 x4+3x3–13x²-27x+36 2. limx-1 x²+3x-4 3. lim,1- V1 – x 3x3-x²+1 lim

A: In this question we will use basic of calculus I.e concept of limits. Solution of the above question…

Q: \lim_(x->-\infty )((13x-2)/(x^(3)+14x-4))

A: Divide the numerator and the denominator by x3.…

Q: Does lim—>1 exist? Does lim—3 exist? Are they continuous? Discontinuous?

A:

Q: lim x approaches 2 .............. 2x + 5/[11 - x^3]

A: here we have to find the limit.  A=limx→22x+511-x3

Q: 1. lim(2x – 5) x+4 2. lim(3x + 8) x-1 3. lim *+1 X-2 x-5

A: Disclaimer: Since you have posted multiple question, we will be solving first three. In case you…

Q: lim 3x/x+1 = 3 x--> infinity, ε = 0.5, find smallest N > 0

A: Answer

Q: 2 1 lim х->1| х — 1 X→1 X - 1

A:

Q: Lim x approaches to - infinity (5-1/x)

A:

Q: lim x approaches 2/3 .............. (8 - 3s)(2s - 1)

A: We have to find the limit: limx→238-3s2s-1 This is determinate form of limit so we just have to put…

Q: 1 lim x→11-x .3 —х 1-х*

A:

Q: lim- x-0 X

A: Given :limx→05x

Q: lim x approaches 9 ........ [(x)^1/2 - 3]/(x - 9)

A: limx→9 x-3(x-9)When put x=9, then00 form occur

Q: Numerically estimate accurate to 2 decimal places of lim x -> 0 ((2^x -1)/(x))

A:

Q: e- lim x-3 x2-9 V3x-3 ,x + 3

A:

Q: lim as x--> 0 of (1-2x)^1/x

A:

Q: lim 1/x^2 - 1 = infinity x--> 1+, M = 1000, find largest δ > 0

A: Use the definition of limit

Q: 2) lim-(x-) ta tan x

A:

Q: 1. lim (3x + 2) X--3 2. lim(1-x2) -2x2+ 4) X-1 3. lim(3x

A:

Q: 1. lim x-> -7 f(x)=    2. lim x-> -3 f(x) =  3. lim x->-2- f(x)=

A: Note : As per the authoring guidelines,when multiple subparts are in one question,then only first…

Q: lim x approaches 5  ........ x - 5/[ x2 - 25]

A: Limit of the function is value that function seems to approach as x approaches certain value.

Q: 1 f. lim-( x-→0 x`x+2 2 (1+x) -/ g. lim

A:

Q: 3 x' tan (x) lim - 3 4x* + 2х-1

A:

Q: lim x approaches 1  .... [(x^-1) - 1]/(x -1)

A: Consider a limit limx→afxgx. The conventional evaluation of the limit sometimes lead to…

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: lim x approaches 2  .......... [x2 - 7x + 10]/[ x - 2]

A: Given :                     limx→2 x2 - 7x + 10x-2

Q: 1.) lim √5-x 2.) lim √5-x 1-5 3.) lim√√5-x

A: We have to find the limit.

Q: The process by which we determine limits of rational functions appliesequally well to ratios…

A: The limit of a function at a variable is equal to the value of the function when the value of the…

Q: lim x approaches 6 .............. (x^3 - 2x^2 + 4x + 8)

A: We need to lim x approaches 6 .............. (x^3 - 2x^2 + 4x + 8)

Q: Evaluate

A: The limit of a function at a point is the value the function tends to as x tends to that point. For…

Q: 2x-arcsinx 7. lim x→0 2x+arctgx emx. 8. lim х-0 пх In(1+3*) 9. lim x→-o In(1+2*)

A: There are multiple question so as per Bartleby policy  I have answered two question, Kindly ask…

Q: correspondig limit x' +x -8x-12 a) lím x* +4x' +5x + 4x +4

A:

Q: lim.                          x^5 x --> - infinity

A:

Q: 34. lim 2-x 35. lim vx -x 36. lim vx-x 140

A:

Q: Find the limit

A:

Q: limx → 1 (x-2) / (x-1)2 ii.  limx → 1 (x2-1) / (x-1) iii. limx → 1  |x-1| / (x-1)

A:

Q: 6. lim x2 - 5х + 4 x→-2 3-Vx+6 8. lim х-з х+3

A: Limit properties: limx→afx±gx=limx→afx±limx→agx limx→afxgx=limx→afxlimx→agx limx→acfx=c limx→afx

Q: 1.) lim 5-x 2.) lim 5-x 3.) lim 5-x

A: Given query is to find indicated limit.

Q: f -3 -2 -1 -2 -3 2.

A:

Q: lim 3^x = 0 x--> -infinity, ε = 1/2, find smallest-magnitude N <

A: Use the definition of limit

Q: f(2) = lim x--> 1-      (1/f(x))= lim x-->1-       (f(1+x))=

A:

Q: If lim f(x) = - infinity x-->-1+ and lim f(x)=-infinity x-->-1-, what can you say about lim f(x)…

A: answer

Q: lim (5x+1/5x-1)x  ? x--&gt;infinity

A:

Q: \lim_(x->-\infty )(x^(2)+ x - 5)/(1-2x-x^(3))

A:

Q: 1. limx→−1−  F(x)= 2.lim x--->-1+  F(x)= 3. limx-->-1  F(x)= 4.F(-1)=

A:

Q: Lim x---> infonity positive 4x^3+x^3-1÷2x^3+5×-1

A:

Q: Evaluate lim x->2 (x^2 - 4x + 4) / tan^2 (x^2 - 4) without using L'Hopital's Rule.

A:

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.