Question
Consider the following.
2x2 - 2x – 12
lim
x -2
Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.)
Write a simpler function that agrees with the given function at all but one point.
g(x) =
%3D
Expand
Transcribed Image Text

Consider the following. 2x2 - 2x – 12 lim x -2 Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) Write a simpler function that agrees with the given function at all but one point. g(x) = %3D

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: The “triangular” region in the first quadrant bounded by the x-axis, the line x = 4, and the hyperbo...

A: Given,

Q: A bird flies from its nest 5 km in the direction 60° north of east, where it stops to rest on a tree...

A: A bird flies from its nest 5 km in the direction 60° north of east, where it stops to rest on a tree...

Q: Find the volume V of the described solid S. A right circular cone with height 7h and base radius 4r ...

A: Given that height of right circular cone is 7h and the base radius is 4r.

Q: describe the given set with a single equation or with a pair of equations. The circle in which the p...

A: sphere of radius 5 centered at the origin is given by: 

Q: Match the polynomial function with its graph: [A] through [H]

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval nota...

A: Consider the provided function,f(x) = (x+8)/(square root x)The rational function is continuous every...

Q: If vector AB = i + 4j - 2k and B is the point (5, 1, 3), find A.

A: Given,

Q: Find an equation for the set of points equidistant from the a. xy-plane and yz-plane. b. x-axis and ...

A: a) Let (x,y,z) be such point that xy-plane and yz-plane are equidistant from it.Distance of (x,y,z) ...

Q: I need help evaluating a derivative of a function at the point (pi/2,18pi)

A: We have given

Q: Evaluate the limit, if it exists:

A: LCM of (x+h)^2 and x^2 is x^2*(x+h)^2.Simplify the numerator using LCD.

Q: Find parametric equations and a parameter interval for the motion of a particle that starts at (a, 0...

A: (a)

Q: Write inequalities to describe the sets in Exercises 45–46. 45. The half-space consisting of the poi...

A: Since we only answer up to 1 question, we’ll answer the first question. Please resubmit the question...

Q: In a psychology experiment, a person could memorize x words in  f(x) = 3x2 − x  seconds (for 0 ≤ x ≤...

A: a person could memorize x words in  f(x) seconds where

Q: Find the coordinates of the centroid of the curve x = e^t cos t, y = e^t sin t, 0<=t<= pai.

A: Click to see the answer

Q: Find parametric equations for the circle x2 + y2 = a2, using as parameter the arc length s measured ...

A: The given equation of circle is,

Q: In Exercises 9 and 10, find an equation for the line in the xy-plane that is tangent to the curve at...

A:  find an equation for the line in the xy-plane that is tangent to the curve at the point correspondi...

Q: In Problems 11–14 verify that the indicated function is an explicit solution of the given differenti...

A: Verify that the given function is an explicit solution of the given differential equation. Find an a...

Q: Find a formula for the distance from the point P(x, y, z) to the a. xy-plane . b. yz-plane c. zx-pla...

A: a) xy plane is given by z=0 We have to find distance of (x,y,z) from z=0 

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic sections in Ex...

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: give the eccentricities of conic sections with one focus at the origin along with the directrix corr...

A: 1)Given,e = 1, y = 2 Equation of conic with eccentricity e and directrix y=k corresponding to focus ...

Q: find an equation for the line tangent to the curve at the point defined by the given value of t. Als...

A: Click to see the answer

Q: Evaluate the indefinite integral. +32 sin(x33) dx

A: Given:

Q: In Exercises 1–3, give a geometric description of the set of points in space whose coordinates satis...

A: To describe the geometric curve satisfied by the equation.

Q: Find the volume of the solid generated by revolving the region enclosed by the ellipse 9x2 + 4y2 = 3...

A: Find the volume of the solid generated by revolving the region enclosed by the ellipse 9x2 + 4y2 = 3...

Q: Find a vector of magnitude 3 in the direction opposite to the direction of v = (1/2)i - (1/2)j - (1/...

A: Given,

Q: Find the distance from the point (4, 3, 0) to the a. x-axis b. y-axis c. z-axis

A: To determine the distance of the point from,Part (a) x-axisPart (b) y-axisPart (c) z-axis

Q: slove the differential equation y′ = xy ln x ln y

A: Given:

Q: Exercises 1–4 give equations of parabolas. Find each parabola’s focus and directrix. Then sketch the...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: Use the identity sin^2 x = (1 - cos 2x)/2 to obtain the Maclaurin series for sin^2 x. Then different...

A: It is given that

Q: Mixtures 9. Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds...

A: Let the amount of salt in the tank at any time t is given by A(t).So the rate at which the amount of...

Q: A reservoir shaped like a right-circular cone, point down, 20 ft across the top and 8 ft deep, is fu...

A: Given: A reservoir shaped like a right-circular cone, point down, 20 ft across the top and 8 ft deep...

Q: What is a parabola? What are the Cartesian equations for parabo-las whose vertices lie at the origin...

A: Explanation:

Q: How do you reindex a series? Why might you want to do this?

A: Any series can be reindexed without changing its convergence.

Q: Find parametric equations for the semicircle x2 + y2 = a2, y> 0, using as parameter the slope t =...

A: Click to see the answer

Q: Solve the inequality. Write your answer in interval notation. |5x - 4| ≤ 7

A: Click to see the answer

Q: Solve the differential equations in Exercises 1–4. 1. x dy /dx + y = ex, x> 0 2. xy′ + 3y = sin x...

A: Consider the provided differential equation,

Q: I need to compute each limit. I have attached the problem as a photo.

A: Given:

Q: Find an equation for the set of all points equidistant from the point (0, 0, 2) and the xy-plane.

A: Let any such point is given by (x,y,z)(x,y,z) is z units away from the xy plane.

Q: What are the basic facts about a. sums, differences, and products of power series? b. substitution o...

A: (a) The basic facts about sums, differences, and products of power series.

Q: Use the equation ƒ(x) = ƒ(a) + ƒ′(a)(x - a) + ƒ′′(c2) /2 (x - a)2 to establish the following test. L...

A: For the given function to determine its behaviour at a critical point x=a, use second derivative tes...

Q: give the eccentricities of conic sections with one focus at the origin along with the directrix corr...

A: Problem 1:Recall the following fact.

Q: In the function:  f(x)= (3x^2)ln(x) , x>0 What are the vertical asymptotes?

A: Given function is,

Q: How would I evaluate this indefinite integral?

A: Consider the provided indefinite integral,Simplify the given indefinite integral as follows,

Q: What is an infinite sequence? What does it mean for such a se-quence to converge? To diverge? Give e...

A: Infinite sequence: