7+5x - *א 2' 9. lim x-2V x2+5

Q: Evaluate the following by limit of su (3x² +5)åx (sin x)dx

A: Solution:To find the integration Formula:∫xndx=xn+1n+1+Csin2x=1-cos 2x2∫cos ax=sin axa+C

Q: 4t2+3t sin t 2. lim t 0 t2

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Q: Which of the following limits will be indeterminate/undefined value when direct substitution is…

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Q: Consider the function f(x) = ax + b, where a and b are constants. Which of the following is one of…

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Q: Evaluate the following limits. x + sin(x) + 2vT x + sin(x) V1+x – 1 – 5 a) lim 2 b) lim r2

A: Given: a  limx→∞x+sinx+2xx+sinxb limx→01+x-1-x2x2

Q: Choose the correct answer for the following limit S sin t3 dt lim 3x4 (A) (8) -1 (C) 1 4 (D) 4. (E)…

A: Let us consider the function F(x)=∫a(x)b(x) g(t) dt Then the derivative of the function is given by…

Q: Evaluate the following limits. If needed, enter oo for o and oo for - 0o. V4 + 11x? (a) lim %3D 3+…

A: limx→∞ 4+11x23+10xdividing N and D by xlimx→∞ 4+11x23+10x=limx→∞ 4x2+113x+10limx→∞…

Q: Which of the following corresponds to the x-4 √x-2 evaluated? 0 4 2 DNE limx→4 ( when

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Q: Find the solution to the following by using the Rules for Limits of Function at Infinity to justiry…

A: Question is solved.

Q: Find the limit of the rational function (a) as x o and (b) as x- -o. Write co or - o Where appropH…

A: Given, fx = 5x3+4x3-x2+x+5  We have to find  (a)   limx→∞ 5x3 +4x3-x2+x+5  (b) limx→-∞ 5x3…

Q: Choose the correct answer for the following limit So sin t3 dt lim 2 x4 (A) 1 Q1_V1_M (B) (C) 1 8…

A: Given:

Q: 1) Find the absolute extremum values of f(x) = x² [1, 2]. – 2x + 12 over the interval

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Q: find the limit of rational function (a) as x→0 and (b) as x→ -o. 2x + 7 x3 – x² + x + 7 f(x)

A: Given that, f(x)=2x3+7x3-x2+x+7 Factoring out x3 on both numerator and denominator we get,…

Q: Choose the correct answer for the following limit Q1_V1_M S sin t3 dt lim x-0 1 2 x4 (A) 3. (B) -1 3…

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Q: Find the indicated one-sided limits, if they exist.

A: Find the indicated one-sided limits, if they exist.     fx=-x+6 ,   if x≤05x+5  ,   if x>0

Q: For Problems 2–4, find the exact value of the following limits, using L'Hôpital's Rule rule where…

A: limits

Q: 1-cos r-r² 1) lim,-0

A: " Since you have asked multiple question , we will solve the first question for you. If you want any…

Q: find the limit of rational function (a) as x→0 and (b) as x→ -o. 2x + 3 f(x) 5x + 7

A: To evaluate: a)limx→∞2x+35x+7,b)limx→-∞2x+35x+7 Solution: a)limx→∞2x+35x+7 limx→∞2x+35x+7 On…

Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) f(x) =…

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Q: 3.lim X→π In(cos2x) (π - x)²

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Q: Find the x-value corresponding to the absolute minimum value of f on the given interval. (If an…

A:

Q: S. The limit of the following function is: sin 2x lim X2x + x b) 0 c) 2 d) 1 e) None of the given…

A:

Q: given f(x) = (2x+1)/(x+3), use the limit definition to find the tangent line to graph of f(x) at x=0

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Q: Find the limit. (If an answer does not exist, enter DNE.) (x + Ax)² – 2(x+ Ax) + 6 – (x² – 2x + 6)…

A:

Q: e n Show that for any &> 0 and S, ₁X₁, lim P(S₁-0 ≥ 8) = 0. =

A: We will use Chebychev's inequality to find the required limit of probability.

Q: Q2/ A. Find the following limits. Answer four only. x+3 i. lim x-3x²+4x+3 X+) √2+1! x-1 lim x-1…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Q3) Find the limits of the following functions V2+12-4 3.lim t2+t-2 tan3x lim X-0 sin8x 1. lím 2.…

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Q: For f(x)=√7x+2, find f′(x) using the definition f′(x)=limh→0f(x+h)−f(x)/h. f′(x)= Using this, find…

A: Equation of the line passing through the points x1,y1 and having slope m is y-y1 =mx-x1.

Q: Answer all the following questions -4 1. Find the doma in of f(x) d x-4 2.Solve the inequality and…

A: Since you have posted multiple questions, so we solve the first question for you, to get the…

Q: Find the value of ſ (2x – x³) dx by evaluating it as the limit of sums.

A:

Q: Given x2 if x 2 f(x) – f(2) a) Determine the left and right limit of the function b) For what…

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Q: For f(x) = = 0 with xo = -2, find the estimated root using NRM if the stopping criterion-is…

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Q: Find the constants "a" and "b" so that the following function sin 2x, if 0<xs. f(x) =- lax + b,…

A: Given f(x) is continuous and differentiable at x = π/6

Q: t 1. lim t40 sin t t 2. lim t40 et - 1 sin(2t) 3. lim 2t t40

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Q: Using the Sandwich Theorem

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Q: ind the limit as x approaches two of (2x + x – 10)/(2 – x)

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Q: Inys 5. lim y→⁰⁰ y

A: To solve for the limits of the following function using L'hospital's rule.limy→∞ ln y5y

Q: Given the function,                        q = ( v2 + v – 56 ) / ( v – 7 )  ,           where  ( v…

A: To find: The left hand and right hand limit of limv→7v2+v-56v-7. Calculation: The left hand limit of…

Q: if x1 O No, since g(x) is undefined at x=1. O Yes, and g'(1)=3. O Yes, and g'(1)=8. O No, since g(x)…

A: Given

Q: Find the limit. 2 )X lim 1+ x4 O A. O О В. 1 O C. 0 O D. 2

A: We have to find

Q: 1 lim \3 Vx + 9/

A: Rationalization of an expression is done to remove the radical expression from the term. For…

Q: Find the limit: -3t e to - 1 t10 – t9' 2+ t -5 lim( t t→0

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Q: For f(x) = 2x³ - 2, find ƒ '(x) using the definition f '(x) = lim f(x+h)-f(x) h h→0 f'(x) = Using…

A: Let's find.

Q: 16. Using the limit as h goes to 0, find the slope of each of the following: a) ƒ(x) = −6x² + 7x − 3…

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Q: Find the limit as x approaches -1 for O-1/2 O 1/2 O-1 01 x+2 -1 x+1

A: Concept: L'Hospital's Rule: A general technique for assessing indeterminate forms like 0/0 or ∞/∞ is…

Q: (x+2)7(x-5)* lim x→b (x+6)3 (x+8)10 DNE %D

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Q: For the equation y arcsinh (2/2), show that: -) we can write y-In (+√2²+4), ) for small z we have y…

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Q: ´ 1/x? sin x lim x>0

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Q: 1) Find the absolute extremum values of f(x) = x² – 4x + 8 over the interval [1, 4].

A: f(x) = x2 – 4x + 8