Hi, can I please get some help with this question? Thank you
Hi, can I please get some help with this question? Thank you Prove: If lim f(x)...
Hi, can I please get some help with this question? Thank you Prove: If lim f(x) = L and lim g(x) = M, then lim(f(x) · g(x)) = L.M. xa xa xa 5. State the converse of #4 above. Next, find a counterexample to the converse of #4 above.
XL Xa 12. (a) Suppose that f(x) = g(x) for all x. Prove that lim f(x) < lim g(x), provided that these limits exist. (b) How can the hypotheses be weakened? (c) If f(x) < g(x) for all x, does it necessarily follow that lim f (x) < lim g(x)? Ya X-
Please help me with this question,I need definition , scratch work and proof,pls have a good handwriting. Thank you so much.... 1. Prove: If lim f (x) = L and C E R, then lim cf(x) = cL. xa x-a Definition. Scratch Work. Proof:
I have no idea where to start! Help please, Thank you. 5.2.5) Prove that if f is integrable on [0, 1] and β > 0, then lim n f(x) dx0 for all α < β. tions hich
Could I have some help with this question please, would like to check my answer. 3. (a) Suppose f is continuous and lim f (x)-a. Prove that Jo f(t) dt = a im Hint: Begin with what it means in terms of the formal definition that lim f (x)=a. (b) Suppose f is continuous and lim f(x) = b. Prove that f (t) dt-b lim Hint: Begin in a similar way and note that then for large N and M,...
Hi! Please help me with question #1. Thank you so much! 1) Let F be the function from R x (-1,1) to R3 given by F(u,0)= ( (2- sin u, vsin (2+v cos vcos COS u Let (u, ) and (u2, 2) belong to the domain R x (-1, 1) of F. Prove that F(u1, U1) (u1(4k 2),-v1) for some relative integer k. Hint: In terms of the spacial coordinates a, y,z compare the quantities 2 +y2 F(u2, 2) if...
Hi. I'm having trouble with this question in my Topology class. Can I get some help on this?? Thank you. (3) Define a function d: R 2 x R2 → R by d(x, y) = max(ki-yil. 12.2-U21) for any two points x-(xi,T2), y-(yi,y2) є R2. Then d is a metric for R2. Prove that {(r,y) є R2lr+y > 0} is an open subset of the metric space (R2, d) and that {(x, y) є R2 1 x + y >...
lim (x+1=0. Specify a relationship between e and & that guarantees the limit exists Use the precise definition of a limit to prove (Hint: Use the identityxxl.) State the steps for proving that lim f(x) - L xa to find a condition of the form Then, for any g>0, assume and use the relationship Let e be an arbitrary positive number. Use the inequality where depends only on the value of prove that between lim (x+1=0. Specify a relationship between...
Hi, can I get some help with my discussion on A&P2, please? There is quite a bit of fluid movement among body compartments. Is this something you would have expected, before reading this chapter? Why or why not? Is there an advantage to this fluid movement?
Hi, may I get some help with explanation? Thank you Two stars of mass m = 0.60 and M = 74.00 (in units of solar masses) separated by a distance d = 8.00 (in units of AU, the earth-sun distance) revolve in circular orbits about their (common) center of mass as shown in the figure below. С. m. М d What is the orbital period of the smaller star in years?