Question: please answer #3 parts (a) -(b) 3. Define f : R - R by f(x) = x2 sin(1/x) for a # 0 and f(0) =

please answer #3 parts (a) -(b)

please answer #3 parts (a) -(b) 3. Define f : R -
3. Define f : R - R by f(x) = x2 sin(1/x) for a # 0 and f(0) = 0. (a) Prove that f is differentiable at 0. (b) Prove that f' is not continuous at 0

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

please answer all parts and 1 Search AutoSave OD R 2 Filo Home Insert Wey. Mgrl_70_ET_CH12 (1) - Excel Formulas Data Review View Help Page Layout DYMO Label QuickBooks T14 X fo 4 A B C D E F G H I J...

Q:

= n a X 2 n 2 2 EnE 2 ma3. ( /24 pts) Suppose an infinite square well potential is given by c D (a) (4 pts) Sketch the potential. (b) (12 pts) As we saw in class, the general solution to the infinite...

Q:

5. /16 pts) A particle in a one-dimensional, infinite square well of length L has the initial, normalized wave function CO I (x, 0) = (a) (8 pts) Find I(x, t). (b) (4 pts) What is the probability of...

Q:

integration 2. Using integration by parts (IBP), what should you pick for u and du in / 5x cos(3x) dx? A. u = cos(3x), du = 5x dx B. u = 5x, du = cos(3x) d.x C. u = cos(3.x), du = 5 dx D. u =5, du =...

Q:

Please answer ALL parts... I broke them down A-F A (6%) Problem 14: Two thin plastic rods, each of length L = 10.5 cm, are placed lengthwise along the x- axis with their ends D = 18.5 cm apart. Each...

Q:

MATH 115 Precalculus MATH 115 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must...

Q:

The article The Influence of Temperature and Sunshine on the Alpha-Acid Contents of Hops (Agric. Meteor. 1974: 375382) reports the following data on yield (y), mean temperature over the period...

Q:

- We are required to use a two 2D array as the background/floor/grid for a picture in which we have to generate random blocks within that grid and store it in the array. JAVA coding We have to have...

Q:

need help with practice questions MCV4U Practice Answer (or Solution) Practice Questions 1. Consider the function f(x) defined by the following graph: 2 1-4 -3 -2 -1 2 Find: a) lim f(x) b) lim f(x)...

Q:

Please Solve This Question 1. If f : G - G' is a homomorphism then show that f (G) = (f (a) | a E G} is a subgroup of G'. We also write f(G) = Imf (Image f). Show further that if H is normal in G...

Q:

In Problem 18, suppose Raines Umbrella Corp. paid out $ 34,000 in cash dividends. Is this possible? If spending on net fixed assets and net working capital was zero, and if no new stock was issued...

Q:

Multiply. Assume that all exponents are natural numbers. (a) (an + bn) (an - bn) (b) (ta + 4) (ta - 7) (c) (an + bn)2

Q:

True or false? The effective rate of interest is the annual rate of interest that, when compounded annually will yield the same accumulated amount as the nominal rate compounded m times a year ( over...

Q:

Electric cars are considered new and emerging markets in Malaysia. Electric cars have problems with battery technology, where the driving range is limited to 100-120 km only. Refuelling is another...