Question

2) For lim??→0+(5??)4??, do not evaluate!a) Which indeterminant form is the expression?b) Set up the limit in order that L’Hopital’s Rule can be applied, state the new indeterminant form.

2) For lim (5x)4*, do not evaluate!
x→0+
a) Which indeterminant form is the expression?
b) Set up the limit in order that L’Hopital’s Rule can be applied, state the new indeterminant form.
Expand
Transcribed Image Text

2) For lim (5x)4*, do not evaluate! x→0+ a) Which indeterminant form is the expression? b) Set up the limit in order that L’Hopital’s Rule can be applied, state the new indeterminant form.

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: Find the arc length of the curve Nephroid perimeter: x = a(3 cos t − cos 3t) ,   y = a(3 sin t − sin...

A: Given: x=a(3cost−cos3t)y=a(3sint−sin3t)0≤x≤2

Q: Which one is a formula for the curvature ? | ||r"(u)|| du a r' (u) du dT ds T'(t) T' O B(t) = T(t) ×...

A: let there be a smooth and continuous curve then the curvature on a smooth curve is defined to be the...

Q: Identify the sorface of the equation qx²-442+62°-144=0

A: 9x2-4y2+16z2-144=0 On simplification, we get ⇒9x2-4y2+16z2=144⇒9x2-4y2+16z2144=1⇒9x2144-4y2144+16z21...

Q: 8. Consider the limit lim x? = = 25. x→5 (a) Show that if 4 < x < 6, then |x² – 25| < 11|x – 5|. Hin...

A: 8. Consider limx→5x2=25. (a) To show if 4&lt;x&lt;6,then x2-25&lt;11x-5 (b) To find a δ such that if...

Q: dy .govi for the curve x = y". dx 3. Find

A: Click to see the answer

Q: Fill in the blank/s: The graph of y = A sin(Bx - C) has phase shift ______ If this phase shift is po...

A: given: y=Asin(Bx-C)  

Q: Find the derivative of the function using the definition of derivative. f(t) = 5t - 3t2 %3D f'(t) = ...

A: Click to see the answer

Q: Compule bethan eact aud numecild Velore 123_3/117-48)* 17E57) to use the odler hat@ for derikate to ...

A: solving part (a):

Q: Use the graph and the viewing rectangle shown below the graph to find the indicated limit.

A: From the given figure, it is observed that the graph of the function approaches 0 as the value of x ...

Q: Find the following limit:

A: To Determine: Find the following limit. Given: we have limx→53x-7 Explanation: we will find the limi...

Q: Skippy wishes to plant a vegetable garden along one side of his house. In his garage, he finds 32 li...

A: Given that Skippy wishes to plant a vegetable garden along one side of his house. he finds 32 linear...

Q: Write the equation of the line tangent to the graph of the function at the indicated point.  Y=(x^2-...

A: To find the equation of the line tangent to the graph of the function y=x2-5x+55x0,y0=4,1

Q: Sketch the region D between y = x2 and y = x(l - x ). Express D as a simple region and calculate the...

A: Given that, y=x2 and y=x1-x To sketch the region bounded by above two curves is,

Q: Pleas help me I don’t understand

A: Given: a) fx=lnx+1,x≥04-x2,x&lt;0 b) fx=10-8e9-x,x&gt;910-89x,x≤9

Q: Find the derivative of f(x) = (1 + 3x2)(x - x2) in two ways. Use the Product Rule. f'(x) = Perform t...

A: Click to see the answer

Q: 4. Find the equation of the tangent line to the curve y = sin cos x at x = (Your 4. coefficients mus...

A: Given: The curve is  y=(sinx)(cosx)  Finding the equation of tangent line at x0=π/4.  

Q: Find the derivative of the function using the definition of derivative. f(x) = 2.5x2 - x + 3.6 f'(x)...

A: Click to see the answer

Q: A stereo manufacturer determines that in order to sell x units of a new stereo, the price per unit (...

A: Given data: *The price  function of x unit is P(x)=3600-2x. *The cost of producing x units is C(x)=5...

Q: 5. lim tan x cos y = 1 (x,y)→(,0)

A: To show :  lim(x,y)→π4,0tan x cos y = 1

Q: I am unsure of how to solve this problem. Any help is appreciated. Thank you.

A: Given function is f(x)=x2sin1x0,     x=0,x≠0 By definition, f'(0)=limx→0f(x)-f(0)x-0  

Q: Use the equations for the shown functions f and g to graph the function y = ( f ∘ g)(x). Then use th...

A: Given functions are fx=x2+3,gx=x. Obtain y=f∘gx. y=f∘gx=fgx=fx=x2+3=x+3

Q: The volume V=(4/3)πr3 of a spherical balloon changes with the radius. a. At what rate ​(in3​/in​) do...

A: We know that the volume of the sphere  is V=43πr3 To find the rate of change in volume with respect ...

Q: Evaluate the integral. (Use C for the constant of integration.) 5x+e5z te* dx

A: Given,            ∫6e5x + e5x dx

Q: Illustrate the Abel's Formula?

A: To  illustrate the Abel's Formula.

Q: Use Cauchy's Integral Theorem to evaluate fr 12z-3(2-42 dz where I' is the circle |z| = 2 described ...

A: Given ∫ez2z−3z−42dzWe know the formula ∫fzz−an=2πin−1!fn−1aWhere 'a' is pole of order nGiven region ...

Q: Find the domain and range of z= f(x,y)= ln(y-x^2). A. Graph the region in xy-plane that represents...

A: Domain is the set of all the possible inputs of the function. Range is the set of all possible outpu...

Q: Solve the following IVP for the 2nd order linear equations        y′′−4y′+9y=0 y(0)=0 y′(0)=−8

A: Click to see the answer

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 15e30r...

A: Let, z=e15xdz=15e15xdxdx=dz15e15x Then we substitute it in the given integral ∫15e30xarctan(e15x)dx=...

Q: ds where t+s = 2s . dt Find %3D 6.

A: t+s=2s

Q: decide if the given statement is true or false,and give a brief justification for your answer.If true...

A: Click to see the answer