Indeterminate form, Mathematics

Assignment Help:

Indeterminate form : The 0/0 we initially got is called an indeterminate form. It means that we don't actually know what it will be till we do some more work.  In the denominator typically zero means it's undefined. Though that will only be true if the numerator isn't also zero.  Also, in the numerator zero usually means that the fraction is zero, unless the denominator is also zero. Similarly anything divided by itself is 1, unless we're talking regarding zero.

Hence, there are actually three competing "rules" here & it's not clear which one will win out.  It's also a chance that none of them will win out & we will get something completely different from undefined, zero, or one. For instance, we might get a value of 4 out of this, to pick a number totally at random.

There are several more kinds of indeterminate forms

Let's check couple of more examples.

Example   Evaluate the given limit.

1478_limit40.png

Solution

In this case we also obtain 0/0 and factoring is not actually an option.  Though, till there is some simplification that we can do.

2053_limit41.png

Hence, upon multiplying out the first term we get a little cancellation and notice that we can factor out an h out of both terms in the numerator that will cancel against the h in the denominator and the division by zero problem goes away & then we can evaluate the limit.

1379_limit42.png

Let's take a look at another type of problem which can arise in computing some limits including piecewise functions.


Related Discussions:- Indeterminate form

Calculate the number-average and weight-average molar mass, Three mixtures ...

Three mixtures were prepared with very narrow molar mass distribution polyisoprenesamples with molar masses of 8000, 25,000, and 100,000 as indicated below. (a) Equal numbers of

Detemine the amplitude of trigonometric function, 1. Consider the trigonome...

1. Consider the trigonometric function f(t) = (a) What is the amplitude of f(t)? (b) What is the period of f(t)? (c) What are the maximum and minimum values attained by

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

Mrs. farrell''s class has 26 students how many were absent, Mrs. Farrell's ...

Mrs. Farrell's class has 26 students. Just 21 were present on Monday. How many were absent? Subtract the number of students present from the total number within the class to de

Sums, what is 10 times 10 pls

what is 10 times 10 pls

Parent, Sam has 18 marbles. Dean has 3 marbles. Dean has ---- as many marbl...

Sam has 18 marbles. Dean has 3 marbles. Dean has ---- as many marbles as Sam?

Ravens played 25 home games how many games did they win, The Ravens played ...

The Ravens played 25 home games this year. They had 9 losses and 2 ties. How many games did they win? Eleven games are accounted for along with the losses and ties (9 + 2 = 11)

Activity example of one to one correspondence learning, Devise one activity...

Devise one activity each to help the child understand 'as many as' and 'one-to-one correspondence'. Try them out on a child/children in your neighbourhood, and record your observat

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