2. Evaluate the limit assuming that lim f(x) = 3 and g(x) = 1.x→-4(a) lim f(x)g(x)x-4(b) lim (2f(x) + 3g(x))(c) lim (f(x))³x-4(d) limg(x)x-4 x²(e) lim f(x) +1x+-4 g(x) - 9

Answered: 2. Evaluate the limit assuming that lim…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

2. Describe a strategy for solving limits of the form limx→∞f(x)g(x), where f(x) and g(x) are polynomials.
1) Given limx→c f(x) = 3 and limx→c g(x) = 4, evaluate the limit:
Find the limit of lim((9+3x)1/2-3)/x as x approaches 0
Find the limit of f(x) + g(x), f(x)g(x), and f(x) g(x) , as x approaches c. lim x->c. f(x) = 5 lim x -> c. g(x) = 20
If x4 <=ƒ(x)<= x2 for x in [-1, 1] and x2<=ƒ(x) <= x4 for x <-1 and x> 1, at what points c do you automatically know limx-->c ƒ(x)? What can you say about the value of the limit at these points?
Find the limit. lim x → 2− e3/(2 − x)
3. Calculate the limits(a) lim (1-cosx)/(5sinx) x->0 (b) lim (x^10)/(10^x) x->inf
Find the constant c so that the limit limx->3 (x2+x+c)/(x2-5x+6) exists.
Calculate the limit, if any. a) limx⟶0 x 1 - ex b) limx⟶4 x2 − x − 12 x2−3x − 4 c) limx⟶∞ lnx /√x √x d) limx⟶1 (x/x −1 − 1/lnx)
Prove the limit. Using the precise definition of a limit. lim x approaches 1 f(x)=2 if f(x) ={ 4-2x , x<1 and 6x-4 x >=1}
4. Given f(x)= { 1, if x < 0 x-1, if x ≥ 0 , estimate lim f(x) x→0- a.1 b. 0 c. does not exist d. -1 5. Given f(x)= { 1/x, if x < 4 x2, if x ≥ 4 , estimate lim f(x) x→4+ a. 1/4 b. 2 c. does not exist d. 16
Suppose that on the interval (2,5) f(x) less than or equal to g (x) less or equal to h (x) and Lim f(x) as x approaches 4 = to 3 =lim h as x approaches 4 h(x). What is lim g(x) as x approaches 4?

SEE MORE QUESTIONS

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

2. Evaluate the limit assuming that lim f(x) = 3 and g(x) = 1. HI-4 (a) lim f(x)g(x) #114 (b) lim (2f(x) + 3g(x)) (c) lim (f(x))³ g(x) (d) lim x-4 x2 f(x) + 1 x-4 g(x) - 9 (e) lim