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

Binomial, how do you find the co=efficent when there are two brackets invol...

how do you find the co=efficent when there are two brackets involved?

Find the number of students side of the square, A teacher on attempting to ...

A teacher on attempting to arrange the students for mass drill in the form of a solid square found that 24 students were left over. When he increased the size of the square by one

Monica, Express area of a square with sides of length 5ab as a monomial.

Express area of a square with sides of length 5ab as a monomial.

Collecting and interpreting data, Q. How to Collecting and interpreting dat...

Q. How to Collecting and interpreting data? Ans. Collecting and interpreting data is the most important job of a statistician. There are many types of studies and differe

VAM, applications of VAM.

applications of VAM.

Direction cosines - vector, Direction Cosines This application of the ...

Direction Cosines This application of the dot product needs that we be in three dimensional (3D) space not like all the other applications we have looked at to this point.

Find the length of the parallelogram, The perimeter of a parallelogram is 5...

The perimeter of a parallelogram is 50 cm. The length of the parallelogram is 5 cm more than the width. Find the length of the parallelogram. Let w = the width of the parallelo

Application of derivatives, the base b of a triangle increases at the rate ...

the base b of a triangle increases at the rate of 2cm per second, and height h decreases at the rate of 1/2 cm per second. Find rate of change of its area when the base and height

How many miles required to be driven for both services cost, Easy Rider tax...

Easy Rider taxi service charges a pick-up fee of $2 and $1.25 for each mile. Luxury Limo taxi service charges a pick-up fee of $3.25 and $1 per mile. How many miles required to be

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