What is limit x tends to 0 log(1+x)/x to the base a?, Mathematics

Assignment Help:

Here we will use the expansion method

Firstly lim_x-0log_a(1+x)/x

firstly using log property we get:

lim_x-0log_a(1+x)-logx

then we change the base of log i.e lim_x-0 {log_e(1+x)/log_ea}-log_ax

then adter using expansion of log_e(1+x) we get answer " 1/log_ea

Related Discussions:- What is limit x tends to 0 log(1+x)/x to the base a?

Determine the inverse transform, Determine the inverse transform of each of...

Determine the inverse transform of each of the subsequent. (a) F(s) = (6/s) - (1/(s - 8)) + (4 /(s -3)) (b) H(s) = (19/(s+2)) - (1/(3s - 5)) + (7/s 2 ) (c) F(s) =

Complex roots - second order differential equations, We will be looking at ...

We will be looking at solutions to the differential equation, in this section ay′′ + by′ + cy = 0 Wherein roots of the characteristic equation, ar 2 + br + c = 0 Those

Sketch the graph f ( x ) = - x5 + (5/2 )x4 + (40/3) x3 + 5, Sketch the grap...

Sketch the graph of the below function. f ( x ) = - x 5 + (5/2 )x 4 + (40/3) x 3 + 5 Solution : Whenever we sketch a graph it's good to have a few points on the graph to

How long will he have to ride to burn 750 calories, Jeff burns 500 calories...

Jeff burns 500 calories per hour bicycling. How long will he have to ride to burn 750 calories? To find out the number of hours required to burn 750 calories, divide 750 throug

Modeling - nonhomogeneous systems, Under this section we're going to go bac...

Under this section we're going to go back and revisit the concept of modeling only now we're going to look at this in light of the fact as we now understand how to solve systems of

., There are k baskets and n balls. The balls are put into the baskets rand...

There are k baskets and n balls. The balls are put into the baskets randomly. If k

Evaluate limit in l''hospital''s rule form, Evaluate the below given limit....

Evaluate the below given limit. Solution Note as well that we actually do have to do the right-hand limit here. We know that the natural logarithm is just described fo

What was the original price of the coat before tax, Nick paid $68.25 for a ...

Nick paid $68.25 for a coat, including sales tax of 5%. What was the original price of the coat before tax? Since 5% sales tax was added to the cost of the coat, $68.25 is 105%

Properties of triangle, In triangle ABC, cosecA(sinB.sinC+cosB.sinC) is equ...

In triangle ABC, cosecA(sinB.sinC+cosB.sinC) is equal to..?

Find out the x-intercepts, Find out the x-intercepts & y-intercepts for eac...

Find out the x-intercepts & y-intercepts for each of the following equations. y =x 2 +x - 6 Solution As verification for each of these we wil

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages