In the exercise below, the initial substitution of x = a yields the form 0/0. Look for ways to simplify the function algebraically, or use a table and/or graph to determine the limit. When necessary, state that the limit does not exist. lim X-2 x² + 4x-12 x²-4 OA. O OB. 2 O c. -1 OD. Does not exist

In the exercise below, the initial substitution of x = a yields the form 0/0. Look for ways to simplify the function algebraically, or use a table and/or graph to determine the limit. When necessary, state that the limit does not exist. lim X-2 x² + 4x-12 x²-4 OA. O OB. 2 O c. -1 OD. Does not exist

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.6: Rational Functions

Problem 2E

See similar textbooks

Related questions

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) =…

A: Use differentiation hh

Q: TL C) (sinx-6cosx)dx 2

Q: Solve the given initial-value problem. The DE is a Bernoulli equation. 1 2dy - 2xy = 6 dx = 6y¹,…

Q: (iii) (iv) (v) fsin* (x) cos(x)dx [2xe** dx f(x+1) sin(x)dx

Q: show step by step working out please i need to understand the concept .thanks

A: The objective of this question is to find the volume of the solid generated by revolving the region…

Q: g) S dt t³+t²-2t

Q: A population of insects can double in 22 days. After 72 days, how many times greater will the…

Q: iv) f e² +e-² e²-6-² dr.

Q: Consider the following plane. 4x - 2y + 3z = 6 Find the normal vector for this plane. n₁ = Find the…

A: The objective of the question is to find the normal vectors and specific points on two given planes,…

Q: lim (2+ h) ³ - 8 h→0 h Complete the table (correct to six decimal places). f(h) h 0.5 0.1 0.01 0.001…

A: The given limit is .We have to find the value of the limit by finding the function values near by .

Q: Find the surface area of the part of the plane 5x + 5y+z=25 that lies above the triangle formed by…

A: To find the surface area of the plane that lies above the triangle formed by points and..

Q: Create a table of values for the function f(x) lim X-0 4 -0.1 -0.01 -0.001 Use the result to explain…

Q: Find the Maclaurin series for f(x) SWI SNI 8WI WI n=0 n=0 2 n=0 xn+1 2n (−1)n xn 2n (−1)” n+1 2n xn…

A: Taylor's and Maclaurin's Series

Q: 54. Sketch the region in the xy-plane defined by the inequalities x - 2y²0, 1- x - y| ≥ 0 and find…

A: Given that the region bounded by the inequalities

Q: Consider the function f(x) = x³ - 36x.

A: The objective of this question is to find the intervals on which the function f(x) = x^3 - 36x is…

Q: d²i di 1 L + R. + i=0, is an equation representing the current i in an electric circuit. If the dt²…

Q: The length of time for students to complete a 1-hour timed standardized mathematics test has a…

A: The objective of this question is to find the probability that the time it takes a randomly selected…

Q: Find the volume of the solid generated by revolving the region bounded by the given curve and lines…

A: Need find the volume of the solid generated by revolving the region by the given curve and lines…

Q: √3 j. (t+1)(t² + 4) dt

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

Q: 4. If x³ + y³ = 6xy, find y'. At what point in the first quadrant is the tangent line horizontal?

A: If , then to find .Tofind the point in the first quadrant at which the the tangent line is…

Q: -5x If f(x) = 2, then what is the value of f'(−1)? Express your answer in simplest form with no…

A: Differentiation.

Q: 1 Score on last try: 0 of 1 pts. See Details for more. > Next question Get a similar question You…

A: The objective of the question is to find the derivative of the function f(x) = 5x(sin x + cos x).

Q: A solid lies between planes perpendicular to the x-axis at x = -3 and x=3. The cross-sections…

A: equations of the semicircles the crossection perpendicular to the between these planes are squares…

Q: At the given point (0, 4), is the given graph x² Justify your answer. - 4 = -4 concave up or down?

Q: Ex 3. Let f(x) = √x+1 and g(x)=x²-3x - 2. Find the following. i) The difference quotient of f(x).…

Q: Evaluate the double integral. S (8x 4y) dA, D is bounded by the circle with center the origin and…

Q: What annual nominal rate compounded semiannually has the same annual percentage yield as 6%…

Q: x=3 x=0 ry=4x y=0 y=0 ry=12 x=3 f(x, y) dydx 2 f(x, y)dxdy x=y/4

A: The given integral

Q: 2. In the following exercises express the integrand as a sum of partial fractions and evaluate the…

A: Note: As per our guidelines, we can solve the first three sub-parts. Please repost the remaining…

Q: Evaluate the indefinite integral using recognition method. a) Ixsin (x²)dx b) x²(x³ + 5)ºdx c) (3x -…

Q: 5. L-1 s+1 s²+2

Q: If f(x) In(x) x 2 what is the value of f'(- 1 V

Q: 37. y = |x - 1| 38. y = |x + 1| For the following exercises, graph the given functions by hand. 40.…

Q: Given the definitions and g(x) below, find the value of (fog)(2). of f(x) f(x) -x+ 2 g(x) = x² – 5x…

A: The functions are given byTo determine: The value of Let's first evaluate the value of can be…

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x=5=y+¹ 1 P(x, y,…

Q: Solve the initial value problem. ds dt 12t(3t²-1)³, s(1)=11 The solution is s=

Q: Evaluate the indefinite integral using recognition method. a) fxsin (x²)dx b) x²(x³ + 5)'dx c) (3x -…

A: Integration by recognition is a method of finding the anti derivative by recognising that the given…

Q: 2. In the following exercises express the integrand as a sum of partial fractions and evaluate the…

A: Since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: 6. The effectiveness of studying for an exam depends upon how many hours a student studies. Some…

Q: Find the equation of the tangent line to the graph of f(x) = (2x+ 9) (x²-12) at x = 3

A: To find the slope(m) of the tangent line , calculate the value of the first derivative of the given…

Q: O 15 0 -3 3. For what value of p will the function be continuous everywhere? (-x² +15, x>2 x < 2 4x…

A: The objective of this question is to find the value of 'p' that makes the function f(x) continuous…

Q: A cup of coffee cools according to Newton's law of cooling (3) in Section 1.3. dTxT-Tm or at =…

A: The objective of this question is to estimate the constants Tm, To, and k in the model of Newton's…

Q: Find the torque at the point A, the shoulder joint. arm length 1.2m hand force down 360 N

Q: A car is towed using a force of 1,400 newtons. The chain used to pull the car makes a 29° angle with…

Q: The brain mass of a fetus can be estimated using the total mass of the fetus by the function b =…

A: The brain mass of a fetus can be estimated using the total mass of the fetus bythe function , where…

Q: Given the points A(1, 0, 0), B(0, 1, 0), and C(0,0,1), find projač AB State the EXACT answer only.…

A: The given points

Q: Given the point (9, 3) is on the graph of f(x)=√x, what would the point Become on the graph of…

Q: dimensions of the box.

A: Of all boxes with a square base and volume 8m3

Q: Find positive numbers x and y satisfying the equation xy = 12 such that the sum 2x+y is as small as…

A: To find the positive numbers satisfying the equation such that the sum is as small as possible.

Q: use the graph of f(x) = 2* shown in Figure 31 to sformation of f(x). 25. h(x)=2x-3

Question

In the exercise below, the initial substitution of

x=a

yields the form 0/0. Look for ways to simplify the function algebraically, or use a table and/or graph to determine the limit. When necessary, state that the limit does not exist.