Use Theorem 4 to determine the limit of the sequence. THEOREM 4 If f is continuous and

Question:

Use Theorem 4 to determine the limit of the sequence.

THEOREM 4 If f is continuous and lim a, = L, then 11-0 lim fan) = f(lim an) = f(L) In other words, we may

an = 4+ 1 n

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

See More Books

Question Posted: Dec 21, 2023 06:58 AM

See More Questions

In Exercises 1-2, use Theorem 4 to determine the limit of the sequence 1. 2. 2n3 +1
Use Theorem 4 to determine the limit of the sequence. a n = tan 1 (e n ) THEOREM 4 If f is continuous and lim a, = L, then 11-0 lim f(an) = f(lim an) = f(L) In other words, we may pass a limit of a...
Use Theorem 4 to determine the limit of the sequence. a n = e 4n/(3n+9) THEOREM 4 If f is continuous and lima, = L, then 11-0 lim f(an) = f(lim an) = f(L) In other words, we may pass a limit of a...
Given, R = 192 R = 22 C=2F C=4F (1) V www R www R R R C The time constants (in S) for the circuits I, II, III are respectively (A) 18, 8/9, 4 (C) 4, 8/9, 18 (II) (B) 18, 4, 8/9 (D) 8/9, 18, 4 R3 (III)
A stock is expected to pay a dividend of $0.50 at the end of the year (that is, D1 = 0.50), and it should continue to grow at a constant rate of 7% a year. If its required return is 12%, what is the...
On May 1, 2022, Ella leases her condo to Fitz for a 12-month lease period starting May 1 for $1,000 per month. Ella requires that Fitz pay first months rent, last months rent and a $1,000 security...
You are given two metal rods. One is a magnet, and the other is made of magnetic material but does not have the elementary magnets aligned. Using no other objects, how can you determine which is the...
Ritchie Manufacturing Company makes a product that it sells for $150 per unit. The company Incurs variable manufacturing costs of $60 per unit. Variable selling expenses are $18 per unit, annual...
What two different types of firmware may be used on motherboards? a. POST b. UEFI c. CMOS d. BIOS
Let a n = F n+1 / F n , where {F n } is the Fibonacci sequence. The sequence {a n } has a limit. We do not prove this fact, but investigate the value of the limit in these exercises. Estimate to five...
Use Theorem 1 to determine the limit of the sequence or state that the sequence diverges. y n = ne1 THEOREM 1 Sequence Defined by a Function If lim f(x) exists, then the se- XIX quence an = f(n)...
How do revenues and expenses affect the accounting equation?
(a) Entities A and B decide to manufacture products jointly in a new territory. Entity C will undertake the manufacturing process in this territory using components supplied by entity A and entity B....
The data given below are available for ABC SpA for the year ended 31 December 2009. The following information has not yet been taken into account in the amounts shown in the trial balance: Inventory...
Agate wants the new system to provide access to the same data from every office around the world. Maintaining a network that is constantly connected between all the offices is considered too...
Why do you suppose physicianpatient privilege did not exist in common law but had to be created by statute?
On 1 January 2010, an entity, which prepares financial statements to 31 December each year, buys a machine at a cost of EUR 92,600. The machines useful life is estimated at four years with a residual...
What is the primary goal of unit testing?
Selected condensed data taken from a recent statement of financial position of Morino Ltd. are as follows. MORINO LTD. Statement of Financial Position (partial) Other current assets...
Two boats leave a port at the same time, one traveling west at 20 mi/hr and the other traveling southwest at 15 mi/hr. At what rate is the distance between them changing 30 min after they leave the...
Calculate the derivative of the following functions. y = log 10 x
a. Graph f with a graphing utility. b. Compute and graph f'. c. Verify that the zeros of f' correspond to points at which f has a horizontal tangent line. f(x) = (sec -1 x)/x on [1, )
In the case of pollution, how can policymakers remedy the overproduction of a good that creates pollution? Explain briefly
What policy/policies can the government enact to get the Covid-19 vaccination to quantity ? Explain all briefly
The Interferometer Fiber Optical Gyroscope has an optical path of L=1.5 km, coil diameter = 20 cm, the optical index of fiber is 1.4606, laser light frequency is 4.5X1014 Hz, the Sagnac phase shift...

Use Theorem 4 to determine the limit of the sequence. THEOREM 4 If f is continuous and

Question:

THEOREM 4 If f is continuous and lim a,= L, then 11-0 lim f(an) = flim an) = f(L) In other words, we may pass a limit of a sequence inside a continuous function.

Step by Step Answer:

We have 1 lim 4 lim 4 n n ...View the full answer

Calculus

Students also viewed these Mathematics questions