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

Can tan theeta be integrated?, Normal 0 false false false ...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Geometric mean, When three quantities a, b and c are in G.P., t...

When three quantities a, b and c are in G.P., then the geometric mean "b" is calculated as follows. Since these quantities are in G.P., the r

First order linear differential equation, Newton's Second Law of motion, wh...

Newton's Second Law of motion, which recall from the earlier section that can be written as: m(dv/dt) = F (t,v) Here F(t,v) is the sum of forces which act on the object and m

Power of iota, The next topic that we desire to discuss here is powers of i...

The next topic that we desire to discuss here is powers of i. Let's just take a look at what occurring while we start looking at many powers of i . i 1 = i

Math, a business is owned by three people.the first owns 1/12 of the busine...

a business is owned by three people.the first owns 1/12 of the business and the second owns 1/6 of the business. what fractional part of the business is owned by the third person

Partial Differentiation, If the sides angles of a triangle ABC vary in such...

If the sides angles of a triangle ABC vary in such a way that it''s circum - radius remain constant. Prove that, da/cos A +db/cos B+dc/cos C=0

How would the society be strengthened, All things considered, in a sense of...

All things considered, in a sense of ethnicity (a sense of identification with and loyalty to one's group) good or bad? is it harmful or helpful? What would be lost if Americans lo

Example on eulers method, For the initial value problem y' + 2y = 2 - e ...

For the initial value problem y' + 2y = 2 - e -4t , y(0) = 1 By using Euler's Method along with a step size of h = 0.1 to get approximate values of the solution at t = 0.1, 0

Cirlce Division, How can i calculate arc length for dividing a circle into ...

How can i calculate arc length for dividing a circle into 10 parts

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