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?

Word problem, a recipe good for 4 servings require 1/8 tsp. black pepper an...

a recipe good for 4 servings require 1/8 tsp. black pepper and 1/2 tsp. of salt. how much black pepper and how much salt needed for 2 servings?

Derive expressions for the mean and variance, On each day t of n days, N cu...

On each day t of n days, N customers of a supermarket were sampled and the number Xt expressing dissatisfaction was recorded. The results suggested that there were good and bad day

How many times must he mow across the width of the lawn, Allan has been hir...

Allan has been hired to mow the school soccer field that is 180 ft wide through 330 ft long. If his mower mows strips which are 2 feet huge, how many times must he mow across the w

Trignometric Equations, Equation for the given intervaks in the intervaks, ...

Equation for the given intervaks in the intervaks, giving ypout answer correct to 0.1 1.sin x = 0.8 0 2. cos x =-0.3 -180 3.4cos theta- cos theta=2 0 4. 10tan theta+3=0 0

Draw tangent graph y = tan ( x ), Graph y = tan ( x ). Solution In...

Graph y = tan ( x ). Solution In the case of tangent we need to be careful while plugging x's in since tangent doesn't present wherever cosine is zero (remember that tan x

Determine does this point lie on the line, Does this Point Lie on The Line?...

Does this Point Lie on The Line? How do you know if a point lies on a given line? For example, does the point (1, 2) lie on the line 3x + y = 7? If you graph the line and the

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

Make x the subject, t=2x/s-7

t=2x/s-7

Example of union of sets, Need help, please anybody solve this: Consider...

Need help, please anybody solve this: Consider the universal set T and its subsets A, B and C underneath as: T = {a, b, c, d e, f} A = {a, d} B = {b, c, f} C = {a, c

Advantages and disadvantages of decision trees, Advantages of decision tree...

Advantages of decision trees 1. This clearly brings out implicit calculations and assumptions for all to see question and revise 2. This is simple to understand Disadvan

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages