SELECT PAGE NO.

No Books/Pages Are Available

SELECT PROBLEM NO. FOR THE PAGE
19

Step-by-step Answer
PAGE: 765SET: SelectPROBLEM: 19
Please look in your text book for this problem Statement

The series is .

Alternating Series Test:

If the alternating series  satisfies

(i)  .

(ii) .

then the series is convergent.

Verify condition (i) : 

Consider the related function .

Differentiate the function with respect to x . 

.

Since we are considering only positive , consider .

.

For , .

Verify condition (ii):

Apply L-hospital rule to find the limit.

LHospitals Rule :

 If the value of limit is indeterminate form of type  or , then

.

Series satisfies conditions of alternating series test.

Thus, the series is convergent.

The series is convergent.



TESTIMONIALS

"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!"

June Barnett

"Your site is amazing! It helped me get through Algebra."

Charles

"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful."

Dan Pease

QUESTIONS? LET US HELP.
Simply chose a support option

My status

JOIN US ON:     
mathskey.com is not affiliated with any Publisher, Book cover, Title, Author names appear for reference only