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

Explain linear equations, Explain Linear Equations ? Set of ordered pai...

Explain Linear Equations ? Set of ordered pairs of numbers A set is an undefined term and we describe it as a "well defined" collection. We use the symbol "{ }" to denote "a se

Exponents, i need help with exponents and how to add them

i need help with exponents and how to add them

How mathematical ideas grow, HOW MATHEMATICAL IDEAS GROW :  In this sectio...

HOW MATHEMATICAL IDEAS GROW :  In this section we shall consider three aspects of the nature of mathematical ideas, namely, that they progress from concrete to abstract, from part

Seqence and seies, If the M-th term of an Ap is n andn-th term M.find the p...

If the M-th term of an Ap is n andn-th term M.find the p-th term

Differential equation, Suppose a fluid (say, water) occupies a domain D? R^...

Suppose a fluid (say, water) occupies a domain D? R^(3 ) and has velocity field V=V(x, t). A substance (say, a day) is suspended into the fluid and will be transported by the fluid

Numbers, use the distributive law to write each multiplication in a differe...

use the distributive law to write each multiplication in a different way. the find the answer. 12x14 16x13 14x18 9x108 12x136 20x147

Probability - applications of integrals, Probability - Applications of inte...

Probability - Applications of integrals In this final application of integrals that we'll be looking at we are going to look at probability.  Previous to actually getting into

Calculus, What is the slope of the line tangent to f(x)=3-2 ln(2x^2+4) at t...

What is the slope of the line tangent to f(x)=3-2 ln(2x^2+4) at the point (4, f(4))

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