Evaluate limit in indeterminate form, Mathematics

Assignment Help:

Evaluate following limits.

137_limit48.png

Solution

In this case we also contain a 0/0 indeterminate form and if we were actually good at factoring we could factor the numerator & denominator, simplify and take the limit.  Though, that's going to be more work than just utilizing L'Hospital's Rule.

1081_limit49.png

L'Hospital's Rule works greatly on the two indeterminate forms 0/0 and ± ∞ /± ∞ .  Though, there are several more indeterminate forms out there as we illustrated earlier.  Let's see some of those and see how we can deal with those types of indeterminate forms.

We'll begin with the indeterminate form (0) ( ± ∞ ) .


Related Discussions:- Evaluate limit in indeterminate form

Using calculus method, Sheldon as the day for the challenge gets closer wan...

Sheldon as the day for the challenge gets closer wants to enter the race. Not being content with an equal start, he wants to handicap himself by giving the other yachts a head star

Rolles theorem, Rolle's Theorem  Assume f(x) is a function which satis...

Rolle's Theorem  Assume f(x) is a function which satisfies all of the following. 1. f(x) is continuous in the closed interval [a,b]. 2. f(x) is differentiable in the ope

Airthmetic progression series, Each of the series 3+5+7+..... and 4+7+10......

Each of the series 3+5+7+..... and 4+7+10.......... is continued to 100 terms find how many terms are identical. Ans) 48 terms would be common to both the series... first take co

Discrete, For each of these arguments determine whether the argument is cor...

For each of these arguments determine whether the argument is correct or incorrect and explain why. a) Everyone enrolled in the university has lived in a dormitory. Mia has never l

Recognizes the absolute extrema & relative extrema, Recognizes the absolute...

Recognizes the absolute extrema & relative extrema for the following function.                           f ( x ) = x 2       on [-1, 2] Solution:  As this function is simpl

Application of statistics-forecasting, Forecasting Statistics is very ...

Forecasting Statistics is very significant for business managers while predicting the future of a business for illustration if a given business situation includes a independen

Circle, prove the the centre of a circle is twice of reference angle

prove the the centre of a circle is twice of reference angle

What difference among the areas of the two sections of a, If the areas of t...

If the areas of two sections of a garden are 6a + 2 and 5a, what is the difference among the areas of the two sections within terms of a? Because the question asks for the diff

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