f-x² + 10x - 25 < g(x) < a² - < 10x + 25 for 4

Q: 2.x – 3 - Find lim x→-∞ 4 – V5x² – x – 2

A:

Q: How does the function behave as lim x → 3- for 7/(3(x-3)(5-x))?

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Q: Please solve by factoring

A:

Q: If 4x - 9  ≤f(x) ≤ x2 -4x +7 for x ≥ 0  , find lim x-&gt;4 f(x) .

A: We apply limit on all the sides of the given inequality.

Q: Prove the limit statements

A: The given function is To prove

Q: Now, use direct substitution. 1 lim X-2 x + 7 + 3) = 1/6 Thus, the value of the limit X + 7 lim X -…

A: limx-&gt;21x+7+3Directy substitute 2 for xlimx-&gt;212+7+3 13+316

Q: a) lim -Vx+7 2-x x-2 b) lim x+1 Show your work

A:

Q: 4-x lim,.

A: The given limit is limx→∞4-xx

Q: [x] +x 3. lim х--1 х+ 2

A:

Q: x² – 21x + 54 - lim x → 3 х — 3 - II

A: x2-21x+54=x2-18x-3x+54=x(x-18)-3(x-18)=(x-18)(x-3)

Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

A:

Q: Find the lim x-->0 (x2-x)/(x2+x)

A: We have to find the limit                                      limx→0x2-xx2+x

Q: Evaluate the limit.

A: Given:                     limx→∞e4x-1-4xx2 Dividing the numerator by highest power denominator:…

Q: If 7-6x2 sf(x)s 7-x² for -1sxs 1, find lim f(x). X→0 lim f(x) =

A: If 7-6x2≤f(x)≤7-x2 for -1≤x≤1, we have to find limx→0f(x)

Q: lim f(x) x--&gt; 3, where f(x) = {2(x+1), if x &lt; 3 or 4, if x = 3, or x^2 - 1, if x &gt; 3}…

A: First we find the limit of f(x) from left side and right side .

Q: 3 Find x=x-12 lim. x-7-3 x2+ 8x+15)

A:

Q: x+5 -lim x-5 r²+25,

A: Given limit, limx→5x+5x2+25

Q: What is lim x-->2 f(x)

A: Here we will see the graph and answer as per that....

Q: ■ Find the limit.

A: Given- limx→12-xx-12 To find- The value of the above limit.

Q: If limx→0(2f(x)−15)=45limx→0(2f(x)−15)=45, then what must limx→0f(x)limx→0f(x) equal?

A: Given limx→02fx-15=45 Find limx→0fx

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

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Q: De nty. lim Bx+5 6+X6-

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Q: lim (2x-5x) is x--2

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Q: lim,-1 f(x) =

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Q: x2 – 3x 4 - - Evaluate the limit: lim x → - 1 5х + 5

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

A: Follow the procedure given below.

Q: If 5-4x sf(x)s5-x for - 1<xs1, find lim f(x), lim f(x)%= f(x) =D

A:

Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.

Q: x-3 lim Xx2 - 2x -3,

A: x2-2x-3=x2-3x+x-3        =x(x-3)+1(x-3)        =(x-3)(x+1)

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: Evaluate the limit: lim --> 0 (ex+3x)1/x

A: It is an indetermined form of questions in case of limit. Which will be solve easily by below given…

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

A: limx→0-xx

Q: Find  lim x+8/x-1 as x approaches -2 approaches

A:

Q: If 2x - 2s f(x) S x² - 2x + 2 for x 2 0, find lim f(x) x-2

A: see below the answer

Q: 7 lim 『ストフ-2 X + 3 メy-3-

A:

Q: 25+x-5 4-limx-0

A:

Q: If 3-2x sf(x)s3-x for -1sxs1, find lim f(x). lim f(x) =|

A: Calculate left hand limit and right hand limit than find the limit using sandwich theorem.

Q: Calculate the limit. x2 – 9 lim х-3 х2 + 5х — 24

A: limx→3x2-9x2+5x-24

Q: f(x) – 4 If lim х-з х-2 3, find lim f(x). x-3

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: 2x2-ху-у? x²-y² Evaluate lim (х.у) - (1,1) (2) 3. 2

A:

Q: Let flx)= S2x-1 if x>3 what is lim f(x) ? 2x+2ifX<3, what is lim flx)? メ-3 とラメふとす

A: Given: fx=2x-1if x&gt;3x+2if x≤3

Q: x2-6x+9 lim x->3 is equal to: x-3

A:

Q: 10. lim is X-- А. со B. -00 С. -1 D. 1

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Q: x2-3x-2 limx--1 х+1

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

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Q: Q1: b: Evaluate the limit: (1) lim-11 17-1 x-1 -2x-4 (2) lim,--23+2x² sin(x-3) (3) lim,-3²-9

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Q: answer does not exist, explain why. x - 1- V3x +1 a. lim- х — 5 1- x b. lim (x – 6)²

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Q: f(x)= 4x^2 - 14x -8 / x^2 + 4x, if x /= -4 2x-1, if x= -4 Find lim x -&gt; -4 ^ - and  F(-4)

A: The given piecewise function is,

Q: -4 lim x2 1- COSTX

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.