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

Construction , construct of tangents a circle from an external point when ...

construct of tangents a circle from an external point when its centre is not known

Proof of alternating series test, Proof of Alternating Series Test With...

Proof of Alternating Series Test With no loss of generality we can assume that the series begins at n =1. If not we could change the proof below to meet the new starting place

Proof for properties of dot product, Proof for Properties of Dot Product ...

Proof for Properties of Dot Product Proof of u → • (v → + w → ) = u → • v → + u → • w → We'll begin with the three vectors, u → = (u 1 , u 2 , ...

Negative skewness-measure of central tendency, Negative Skewness It i...

Negative Skewness It is an asymmetrical curve whether the long tail extends to the left NB: In developed countries this frequency curve for the age distribution is charact

Evaluate the circumference of the spray, A water sprinkler operates in a ci...

A water sprinkler operates in a circular pattern a distance of 10 ft. Evaluate the circumference of the spray? (π = 3.14) a. 31.4 ft b. 314 ft c. 62.8 ft d. 628 ft

Rectilinear figure, what is a redtilinear figure? like what are for the req...

what is a redtilinear figure? like what are for the requirments for a shape to be called that? example a regular polygon has all sides and angles equal. i cant find that kind of dr

Solve the linear programming problem using simple method, Solve the followi...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x 1 + 2X 2 Subject to the constraints:                  X 1 + X 2 ≤ 4

The low temperature in Achorage, The low temperature in Anchorage, Alaska t...

The low temperature in Anchorage, Alaska today was negative four degrees. The low temperature in Los Angeles, California was sixty-three degreees. What is the difference in the two

Number of permutations of ''n'' dissimilar things , Finding the numbe...

Finding the number of Permutations of 'n' dissimilar things taken 'r' at a time:  After looking at the definition of permutations, we look at how to evolve a

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