Calculate lim Solution In(3x) Since In (3x) →∞o and lim x-00 In (3x) lim X-00 √x In(3x) = lim = x-00 lim x-001-2/3 Notice that the limit on the right side is now indeterminate of type. But instead of applying I'Hospital's Rule a second time as we did in this example, we simplify the expression and see that a second application is unnecessary. = →00 as x→ co, I'Hospital's Rule applies. lim x → 00 = lim

Calculate lim Solution In(3x) Since In (3x) →∞o and lim x-00 In (3x) lim X-00 √x In(3x) = lim = x-00 lim x-001-2/3 Notice that the limit on the right side is now indeterminate of type. But instead of applying I'Hospital's Rule a second time as we did in this example, we simplify the expression and see that a second application is unnecessary. = →00 as x→ co, I'Hospital's Rule applies. lim x → 00 = lim

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.2: Continuity

Problem 31E

See similar textbooks