Question: lim x 0 ( x 1 ) l n a x with a > 0 , a 1 , is an indeterminate form of type

limx0(x1)lnax with a>0,a1, is an indeterminate form of type 00,0,1(circle one). Show that limx0(x1)lnax=a.
lim x 0 ( x 1 ) l n a x with a > 0 , a 1 , is an

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

............. Which of the limits below are equal?. Select all that ap In(x - 1) - 1 lim X + 0 x - 1 h In(x +h - 1)-1 lim Oh +0 h None of the choices. In(x - 1) - 1 lim Oxe x - 1 In(eth - 1) - 1 lim h

Q:

The graph of the function f is given y 24 18 12 9 0 6 y f x 12 18 24 30 36 a Use six rectangles to find estimates of each type for the area under the given graph of f the x axis and the lines x 0 and...

Q:

lim (7 sin x) x+0* 6 tan x Choose the correct answer below and, if necessary, fill in any answer boxes to complete your choice. O A. L= lim (6 tan x) In (7 sin x) is finite and therefore lim (7 sin...

Q:

1. We want to compute 32 lim I-+00 V/724 +1 a) At : approaches 00, we get an indeterminate form of the type ( 190 0 00/00 0 0 x 00 0 0/0 O co - 00 0 00 3 b) By factoring from the numerator and...

Q:

please do 18, 20, 22 Note: Be sure to check whether L'Hopital's Rule applies before using it!!!! If you don't the graders will take off points! Exercises 6.7 Terms and Concepts e-x-1 lim x-+ 07 X2 1....

Q:

Evaluate the limit. sin 12x lim X-+ 0 tan x Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. sin 12x lim X - 0 tan x O B. The limit is...

Q:

Can you please help me with 39. 592 CHAPTER 8 INFINITE SEQUENCES AND SERIES 38-39 Let 27. 28. Vn lim Va. | = L 10 30. sin 4n The Root Test says the following: 29 2 1 (n + 1)42 +1 (i) If Z 1 (or L =...

Q:

Can you please help me with 30. 592 CHAPTER 8 INFINITE SEQUENCES AND SERIES 38-39 Let 27. 28. Vn lim Va. | = L 10 30. sin 4n The Root Test says the following: 29 2 1 (n + 1)42 +1 (i) If Z 1 (or L =...

Q:

depends only on the value of Identify f(x) f(x) = Identify L L = Identify a. a = Review the second step for proving that lim f(x) = L. Use the given inequality and the desired form of the condition...

Q:

ole3 GPC's primary objective is to increase revenue 7% and net income 6% in each of the next 4 years prior to a planned initial public offering (in year 5). The company producess. Hans refuses to...

Q:

DER Hudson Company has the following account balances: Sales Revenue $195,000, Sales Discounts $2,000, Cost of Goods Sold $117,000, and Inventory $40,000. Prepare the entries to record the closing of...

Q:

Calculate the magnitude of the electric field on the perpendicular bisector of a uniformly charged line segment with linear charge density A=4.8 C/m and length L=1.2 cm. Take Y3D1.6 cm. (Your result...

Q:

Which of the following was not one of the ancestors of 1970s punk music? Velvet Underground Minor Threat the Stooges New York Dolls

Q:

What are some food related health care issues that inner cities are more likely to see than more affluent areas? Why are certain areas most likely to experience inadequate healthy food options than...