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

Determine the area of the inner loop - polar coordinates, Determine or find...

Determine or find out the area of the inner loop of r = 2 + 4 cosθ. Solution We can graphed this function back while we first started looking at polar coordinates.  For thi

Probability distributions, Probability Distributions Since the value of...

Probability Distributions Since the value of a random variable cannot be predicted accurately, by convention, probabilities are assigned to all the likely values that the varia

Determine the slope, Determine the slope following lines.  Sketch the graph...

Determine the slope following lines.  Sketch the graph of line.       The line which contains the two points (-2, -3) and (3, 1) .   Solution we'll need to do is employ

L''hospital''s rule, L'Hospital's Rule Assume that we have one of the g...

L'Hospital's Rule Assume that we have one of the given cases, where a is any real number, infinity or negative infinity.  In these cases we have, Therefore, L'H

Pre-calculas, find the polar coordinates of each point with the given recta...

find the polar coordinates of each point with the given rectangular coordinates. (-(squareroot(3)),3

Differentiate y = x x using implicit differentiation, Differentiate y = x ...

Differentiate y = x x Solution : We've illustrated two functions similar to this at this point. d ( x n ) /dx = nx n -1                                 d (a x ) /dx= a

Min Problem, I need help solving this question...You have to design a recta...

I need help solving this question...You have to design a rectangular flyer. The top and bottom must have 5" margins and the left and right sides must have 2" margins. If you must

Define degrees and radians, Q. Define Degrees and Radians? Ans. Ju...

Q. Define Degrees and Radians? Ans. Just as your height can be measured in meters or feet and your weight can be measured in pounds or kilograms, angles can be measured in

Numeros naturales., Averigua que nùmero de cinco cifras se esconde detras d...

Averigua que nùmero de cinco cifras se esconde detras de las pistas dadas La cifra de las unidades es par, mayor que 6 y coincide con las decenas de mil. La cifra de las decenas se

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