Limits at infinity part ii, Mathematics

Assignment Help:

Limits At Infinity, Part IIIn this section we desire to take a look at some other kinds of functions that frequently show up in limits at infinity.  The functions we'll be discussed at here are natural logarithms, exponentials,  and inverse tangents.

Let's begin by taking a look at some of very basic examples involving exponential functions.

Example:  Evaluate following limits.

392_limit10.png

Solution

The major point of this example was to point out that if the exponent of an exponential goes towards infinity in the limit then the exponential function will also go towards infinity in the limit.  Similarly, if the exponent goes to minus infinity in the limit then the exponential will go to zero in the limit.

151_limit11.png


Related Discussions:- Limits at infinity part ii

Factoring, how are polynomials be factored/?

how are polynomials be factored/?

Spring force, Spring, F s We are going to suppose that Hooke's Law wil...

Spring, F s We are going to suppose that Hooke's Law will govern the force as the spring exerts on the object. This force will all the time be present suitably and is F s

Explain what is symmetry in maths, Symmetry Definition : A line of sy...

Symmetry Definition : A line of symmetry divides a set of points into two halves, each being a reflection of the other. Each image point is also a point of the set. Defin

Maths, f all the permutations of the letters of the word chalk are written ...

f all the permutations of the letters of the word chalk are written in a dictionary the rank of this word will be?

Find the 14th term in the arithmetic sequence. 60, Find the 14th term in t...

Find the 14th term in the arithmetic sequence. 60, 68, 76, 84, 92

Average function value, Average Function Value The average value of a ...

Average Function Value The average value of a function f(x) over the interval [a,b] is specified by, f avg = (1/b-a) a ∫ b f(x) dx Proof We know that the average

Question, If X = {a, e, i, o, u} and Y = {a, b, c, d, e}, then what is Y - ...

If X = {a, e, i, o, u} and Y = {a, b, c, d, e}, then what is Y - X ?

Determine the taylor series, Example : Determine the Taylor series for f(x)...

Example : Determine the Taylor series for f(x) = e x about x=0. Solution It is probably one of the easiest functions to get the Taylor series for. We just require recallin

Linear programming problem, I have a linear programming problem that we are...

I have a linear programming problem that we are to work out in QM for Windows and I can''t figure out how to lay it out. Are you able to help me if I send you the problem?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd