Question

lim g(t) as t --> -1, where g(t) = {2t + 1, if t > -1 or 5t^2, if t < -1} piecewise

why is does the limit not exist here?

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

Limits

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Question: Find the area of the region bounded by y y0, x1, x-4

A: The area of region bounded by the curve y=(x^2+x-1)/((x)^1/2), x=1,x=4,y=0.

Q: What's the domain of x-1 / (1 - e^(x - 3))

A: Since this function is a rational function, the denominator can't be equal to 0. 

Q: At the indicated point for the function, find the following. You may use the numerical derivative fe...

A: Given information:The given function is  

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R i...

A: The given curves are y=x, y=4x, y=16.The graph of the region formed by these curves is,

Q: 5 dx In 26 In 24 '을 In 24 글 In 26 none of the above

A: Obtain the value of the integral as follows.

Q: a. Determine whether the Mean Value Theorem applies to the function f(x)= ex on the given interval [...

A: Definition used: Mean Value Theorem

Q: How can I get the result? Which is the result?

A: To find the equation of the tangent line approximation T to the graph of f at the given point.The gi...

Q: Use the graph off and f' to find the critical points and inflection points of f, the intervals on wh...

A: Finding the critical point

Q: Activity 4 the Derivative of Inverse Trigonometric Functions 9. Without technology find the derivati...

A: The given functions are y = sin–1(4x), y = cos–1(lnx), y = tan–1(e2x), y = x(sin-1(x))2.

Q: find the domain and range of f(x)=X5+x (the last x is supposed to be squared) and domain and range o...

A: Given information:The given function is f(x)=X5+x^2  and g(y)=1/y-2.

Q: The DeWitt Company has found that the rate of change of its average cost for product is C'(x)=(1/4)-...

A: Given information:The DeWitt Company has found that the rate of change of its average cost for produ...

Q: Find the producers' surplus at a price level of p $51 for the price-supply equation below. S(x) 5+0....

A: Given price-supply equation is, 

Q: How do I solve this Bernoulli equation using P(x), Q(x) and n as well as u(y)?

A: First, we write it in form of Bernoulli Differential equation. 

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: Given infromation:The given funcion is  

Q: A boat on the ocean is 2 mi. from the nearest point on a straight shoreline; that point is 13 miles ...

A: According to the question, x is the distance between the nearest point on a shoreline and the point ...

Q: How do you set up the integral?

A: Given a triangle with function and the vertices,

Q: The equation abs(y/a)^n + abs(x/a)^n = 1, where n and a are positive real numbers.  Make a complete ...

A: The equation abs(y/a)^n + abs(x/a)^n = 1,

Q: for the function f, given below, find the antiderivative F that satisfies F(1) = 1 The antiderivativ...

A: First, we find the general solution using integration. 

Q: Please solve all parts.

A: You have asked multiple unrelated questions in a single post. Futher your first question has multipl...

Q: Find the derivative of the inverse function  f(x) = x/x+2

A: Click to see the answer

Q: What is the particular solution for y′=5ex −6x3 +4x such that y(0)=−8? Do not include "y=" in your a...

A: The given differential equation is, y′=5ex −6x3 +4x. 

Q: Use the following definitions to prove that lim x 0 x0+ Assume f exists for all x near a with x > a....

A: The given limit function is,

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x ...

A: We are given equations as 

Q: The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in ...

A: Let the polar coordinates of given point are ( rcos(thita), rsin(thita)) as shown on board.By compar...

Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 56...

A: Let the length of each side of the base= x feet and the height of the box= y feet. Volume = length *...

Q: Use the substitution formula Integral from a to b f left parenthesis g left parenthesis x right pare...

A: The given integral is,

Q: Find an equation of the tangent line to the curve at the given point. y x-2x + 1, (2, 5) Need Help? ...

A: We know that the value of slope of tangent  to the curve y=f(x) at (a,b) is the value of dy/dx at (a...

Q: A drag racer accelerates at a(t) = 84 ft/s^2. Assum v(0) and s(0) = 0.

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: A stone is launched vertically upward from a cliff 160 ft above the ground at a speed of 48 ft/s. It...

A: We first find s\' using derivative. Answer(a): s\'= -32t+48

Q: Which is the result?

A: We are given a function as 

Q: Find a particular solution to the differential equation below that passes through the point (−3,−5)....

A: The given differential equation is y’ = 5x–5.

Q: Need a,b, and c please!

A: The given equation is s = –0.2t2 + 12t and the velocity is v =12 m/s. a. Obtain the velocity v of th...

Q: Evaluate the integral.   Integral from nothing to nothing hyperbolic cotangent StartFraction x Over ...

A: Refer to the integral,Rewrite the hyperbolic cotangent as,

Q: This is solving the 2nd derivative of f(x) = x^2/ 1+e^x, and we have already obtained the 1st deriva...

A: The given function is,

Q: The function s(x) = 3600/(60 + x) = 3600(60 + x)^-1 gives a person's average speed in miles per hour...

A: The function of distance,

Q: How can I get the result? Which is the result?

A: (a)we are given a function 

Q: How can I get the result? Which is the result

A: To find two positive numbers whose sum is 210 and whose product is a maximum.(a) Analytically comple...

Q: Determine whether the following statements are true and give an explanation or counterexample.

A: Given information: 

Q: Find the slope of the tangent line to the given polar curve: r = 2 - sin(theta), at theta = (pi/3) s...

A: Click to see the answer

Q: Decide which integral of the Divergence Theorem to use and compute the outward flux of the vector fi...

A: From the Divergence theorem, for a positively oriented boundary surface (outward Normal) of region E...

Q: 3 dx = 1 2x 8 In 국 5 -4 In 2 In을 -2 In -8 In LOn LOn

A: Obtain the value of the integral as follows.The given integral is,

Q: I need help on how to contruct the definite integral needed to find the area of the geometric shape ...

A: Formula of area of triangle is = (1/2)*b*h, where b=base, h=height 

Q: I need help please.

A: Rewrite the given series and proceed further.

Q: how to find  Find the area of the region enclosed by one loop of the curve. r = sin(4θ)

A: The given curve is r= sin4thetaArea of the curve enclosed in the first loop is,

Q: Find the area of the region described. 18 The region bounded by y and y1 2 9+x The area of the regio...

A: y = 18 / (9 + x2)As a first step we need to find the points of intersection of the curve and the lin...

Q: How can I get the result? Which is the result?

A: The definite integral is given as

Q: You must get from a point P on the straight shore of a lake to a stranded swimmer who is 60 meters f...

A: Let, "u" be the velocity at which you can swim and "v" be the velocity at which you can run.u = 2 m ...

Q: Which of the following is the power series representation for g(x)? +8 OA. B. k 8 1 k 0 k 0 8k O C. ...

A: Note that the function g(x) is not provided (here option (c) can also be a power series). So, we are...

Q: 150 100 50 20 40 60 3. Suppose that a population develops according to the logistic equation (c) Use...

A: Given that a population develops according to the logistic equation

Q: Please help

A: Here we will make the use of series for sin(x2) to solve the given integral.The provided integral is...