Test II: Evaluate lim *+h)=J(x) for the given function f (show h-0 h solutions) 1. f(x)= 4x 2. f(x)= 3x2- 2

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

A: Givenlim x→44-x5-(x2+9)1/2

Q: lim                                          (9x/(9x+8))^9x x approaches  infinity using…

A: Given, We have to calculate the limit.

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

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

Q: Lim secx -co tx メーマ

A:

Q: limx--->0+(1/x8-1/x4). Use l'Hôpital's Rule if appropriate.

A:

Q: Оuestion: 2 Use the numerical method to find lim 3-x

A:

Q: lim x approaches 1/2 .............. 4x(3x + 4)^2

A: Consider f(x)=4x3x+42=4x9x2+24x+16=36x3+96x2+64 As f(x) is a polynomial, it's continuous on ℝ,…

Q: lim x- Vx x-0

A:

Q: Evalugte lim(3x-1)/x Xー>○ X/2

A: The solution is :

Q: Determine the law limit applied in solving lim 3 = 3. t-1 A. Limit of an identity B. Limit of a root…

A: Solution ) limit of a constant  limx→a b = b  limit of x tending to any value is value of the…

Q: lim х>1 \x-1 X→1 Inx,

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: Зx2-14х +8 lim 7x-28 x+4

A: By factoring method: Take factors in numerator and denominator  Limx-4(3x2-14x+8)/(7x-28)         =…

Q: 7 arctan(x) Calculate lim 0 x3 + 6x

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: Find the limit: Lim x->0  2 sin2 3x / 3x2

A: Given,         limx→02sin23x3x2

Q: Compute the limit below. Justify your answer. (You will receive no credit without showing work and…

A: Given: limx→-210x+29-3x+2

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: Find limx->0+(x/ln(x)).Please explain all the steps and rules used to figure out the answer as…

A:

Q: Determine the following limits or state that they do not exist.

A: Given f(x)=x-4x(x+2)

Q: lim- x-0 X

A: Given :limx→05x

Q: lim == - 1

A: The objective is state whether limz→0zz=-1 is true or false.

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

A:

Q: 2-Vx2-5 2. Solve lim x--3 =? (Don't use L'hopital Rule) x+3

A:

Q: 25 using a table of - 3. Evaluate lim x→25 Va – 5 - functional values.

A: We have to evaluate the given limit: limx→25x-25x-5 Since given limit has 00 indeterminate form so…

Q: lim{x arctan x 2 }=?

A:

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: 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: bounded on (0, 1), then lim f

A: In this question, concept of Continuity is applied. Continuity For a graph y = f(x), continuity can…

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: Final Value Theorem:- 6, lim xin) lim xCt) ヒ→ lim (1-z) Xcz) (火(00)に

A:

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

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

Q: 1-x c) lim- x1 1-Vx こ 11- sin x d) lim エー→0

A:

Q: (x² - 3) Build a table to estimate lim x-0 sin x

A: Given expression is

Q: Using l'tHtospitel's Rule Evaluete lim x3

A: We will keep on applying the L'Hopital Rule until we get a finite numerator or denominator and then…

Q: Vx+4 -3 3. Evaluatelim Show your complete solution. x-5 x-5 x-1 4. Evaluatelim Show your complete…

A:

Q: lim メ→02-V4+x Calculate

A: We have to find the limit of the given function.

Q: using L'Hospital's Rule, what is limx->1+ (1/x-1) - (1/lnx)

A: compute the limit as follows.

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

A:

Q: 2. limx-co √x √x+√√x+√x

A: Here we have to find the value of  limx→∞xx+x+x

Q: 2- x - sinx 1. lim x00 x + cosx x*+2x-1 2. lim-0 x3-2x2+x

A:

Q: V lim x² – 9 X→3 x² – 4x + 3

A:

Q: 4- lim Vsin x

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

A: Use the definition of limit

Q: Qz tanx) lim メ→(室-x)

A: the solution is given below

Q: 1f. lim (tanx)x x-&gt;0+

A: Given,

Q: lim cosx x-0 x2-x+3 1-Vx-6 lim X-7 x-7

A:

Q: lim (x2 + 2)sechx X→+0

A: