Evaluate following limits at infinity, Mathematics

Assignment Help:

Evaluate following limits.

566_limit12.png

Solution

In this part what we have to note (using Fact 2 above) is that in the limit the exponent of the exponential does this,

231_limit13.png

Hence, the exponent goes to minus infinity in the limit and thus the exponential has to go to zero in the limit.  Hence, the answer is,

1244_limit14.png

Let's work on some more complicated examples including exponentials.  In the following examples it won't be that the exponents are more complexes, but instead that there will be more than one exponential function to deal with.


Related Discussions:- Evaluate following limits at infinity

If she remains going at similar rate how long will it take, Susan traveled ...

Susan traveled 114 miles in 2 hours. If she remains going at the similar rate, how long will it take her to go the remaining 285 miles of her trip? There is a 1 in 6 chance of

What''s my balance, I should have an account balance for $50.96. You took o...

I should have an account balance for $50.96. You took out $50.96 for a product on 6/18 which was NOT downloaded or delivered as it not available in the time frame I needed it. I am

Triangles, if A be the area of a right triangle and b be one of the sides c...

if A be the area of a right triangle and b be one of the sides containing the right angle, prove that the length of the altitude on the hypotenuse is 2Ab/rootb^4+4A^2

Scaling and translation for equations, Q. Scaling and translation for equat...

Q. Scaling and translation for equations? Ans. If you have an equation in the form y= f(x) (if you're not familiar with functions, that just means having "y" on the left s

Properties of triangle, in a rhomus ABCD the circum radii of triangles ABD ...

in a rhomus ABCD the circum radii of triangles ABD and ACD are 12.5 cm and 25cm respetively then find the area of rhombus.

Complex eigenvalues, It is the last case that we need to take a look at. Th...

It is the last case that we need to take a look at. Throughout this section we will look at solutions to the system, x?' = A x? Here the eigenvalues of the matrix A are compl

Triangles, about scalene,equilateral and isosceles.

about scalene,equilateral and isosceles.

Basic differential equation, Two 1000 liter tanks are containing salt water...

Two 1000 liter tanks are containing salt water. Tank 1 has 800 liters of water initially having 20 grams of salt dissolved in this and tank 2 has 1000 liters of water and initially

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