f(x) 80. If lim x→-2 x? 1, find f(x) b. lim x2 (x) х

Q: (х-а) 2. lim Vx-Va X→a

A:

Q: 8) Evaluate the limits: a. lim x sin X00 ex-x-1 b. lim x3

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: 1- V1– x2 с) lim x→0 [without using l'Hospital Rule] x2 -1- x – a? d lim x→0

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Q: ー2 a) lim X >6 (x-6)3 b) lim E) ゼ+t

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Q: 21 f(x)= 3x2 +4x +1 and g(x) = x2 -2x-3, then what is lim f(x) *→19(x)?

A:

Q: x2 +1 Can L'Hôpital's Rule be applied to lim x→1 2x + 1

A: To check if the L'Hospital's Rule can be applied or not, first we need to find the limit by directly…

Q: Evaluate

A: To evaluate limx→0 e2x-1xSubstituting x=0 , 00 form is obtained Hence , L' Hospital's rule can be…

Q: If lim g(x) = 10 and lim h(x) = 28 then x5 x5 lim [2g(x)+ 5h(æ)] x5

A: Solution to the first question: Given,            limx→5g(x) = 10  and limx→5h(x) =28

Q: x + tan x 2? — 5х — 14 - (а) lim x0 3x + 4x² (b) lim (Do not use L’Hospital rule in part(b)) x7- x2…

A: Using rules of limit's.

Q: V-x – 2 – V3 te lim x--5 -x - 5

A:

Q: 39. Find lim f(x) if, for x > 0, 4x? – 5 4x6 + 3 - < f(x) < x6 x2

A:

Q: lim, 1 f(x) = %3D

A: limx→a f(x) =L if and only if limx→a- f(x) = L =limx→a+ f(x) .

Q: 4.x 2x 7e lim 1- e4x

A: We have to find limx→∞ e4x-7e2x1-e4x.

Q: Discuss the continuity of the function.

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Q: (x)- f(1) lim f(x) = 2 , where x-1 х-1

A:

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

A: solution is given below..

Q: Prove the limit statements

A: Given: fx=4-2x,x&lt;16x-4,x≥1 we know that limit of any given function at given point exist only if…

Q: 4. Suppose that lim (x) = 1 and lim g(x) = 2 then find g(x)– 4 f(x) the value of [f(x)} +3g(x) lim…

A:

Q: 22. If lim f(x) = 18 and lim g(x) = -1.5, find the lim %3D %3D x-a L4g(x). xa А. 6 -3 С. -1 D. -7 В.

A: 22) If limx→afx=18 and limx→agx=-1.5 , find the limx→afx4gx

Q: 12. Given f(x)=x² – 4x – 5. Find lim fx) –{2) x-2 2

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

A:

Q: 2) Find lim f(x). X→1 f(x> X 2. 2.

A: here      limx→1- f(x)=1    and            limx→1+ f(x)=2 here                            limx→1-…

Q: Q \ Find the value of 8 > 0 that guarantee lim x-0 csc(1/x) = 0 in terms of ɛ?

A: Definition of limit: We know that, limx→af(x)=L               ...(i) For each ϵ&gt;0, there exists a…

Q: 8x+4-4cos?x+tanx Q1) Find lim X-0 4sin2x

A:

Q: 1 lim x-5 I. Find

A: For x-&gt;5^+ , x-5 -&gt; 0^+So denominator equals to 0.We can not find the limit by plugging the…

Q: 2. メー gu)= - fex) = X üls Is1 3メ-1 احب lim (fog) x メー

A: We have to find limit

Q: 1. lim[f (x) — 4g (х)] х+1

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: 3. If f (x) = (x² – 1, if x 3 3.a) lim f(x) X-3 3.b) lim f (x) 3.c) lim f (x) X-1

A: The given function is f(x)=x2-1,if x&lt;3x+5,if x≥3

Q: . Is it possible that f(2) = 5 but limx→2 f(x) = 7? If so, what kind of function can satisfy this?

A:

Q: 1. Given that f (x) = -x² + 4x, and a = 2, find f(a + h) – f(a) lim h→0 h Explain the meaning of the…

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Q: X-V2x+3 If f(x) = *-v2x+3 Solve to find lim f(x)? X-3 X3

A:

Q: x +1 if r -1 Determine if lim f(x) exists. 2-1

A:

Q: 1. lim )Gt h->0 2. lim xZ X-1 X>( X-I

A: here is the solution

Q: Q1) Find lim Bx+4-4cos²x+tanx x-0 4sin2x 10x2+125-5 Q2) Find lim x-0 3x2

A:

Q: Use the limit properties to find the following limit.

A: Given that, limx→3fx=3      ...(1)limx→3gx=2      ...(2)

Q: {x² +7, 14, x = 4 lim f(x), where f(x) =

A:

Q: Jx-2 %3D F(x) x²+x-6 Does lim F(x) exist? x-2

A:

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

A:

Q: x² - 5x – 24 lim Calculate the limit: x-3 x+3

A: the given limit is: limx→-3x2-5x-24x+3 we have to evaluate the given limit.

Q: 3x +x 6. Evaluate the limit: lim- x→0 а. О С. 1 b. 3 d. -1

A: “Since you have asked multiple questions, we will solve ONE question for you. If you want any…

Q: x+1 If f (x) : Solve to find lim f(x)? Vx2+5-x'

A: We find limit

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: 23 - Vx - 47 Find lim x+ 24 X→-24

A:

Q: f(x+Ax)-f(x) Find lim 4x-0 if f(x) = 4x + 5. Дх

A: NOTE: Refresh your page if you can't see any equations. .

Q: 19) Find lim f(x) %3D 19) X2 + A) 2 B) – 2 C) - 4 D) - 8 20) Find lim f(x) 20) X 2

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

A:

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: limx--1f(x) Let f(x) = (x² – 1)/C(x| – 1)

A: