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

Objective type , when is the trnscribing process of data preparation irrele...

when is the trnscribing process of data preparation irrelevant ? a)CAPI b) mall panel c) in home interview d) all of them

Equation of a straight line, In a two dimensional case, the form of t...

In a two dimensional case, the form of the linear function can be obtained if we know the co-ordinates of two points on the straight line. Suppose  x' and  x"  are two

Mod(z-25i)<15, Mod(Z-25i)   Sol) mod (Z-25i) means Z lies in the circumfer...

Mod(Z-25i)   Sol) mod (Z-25i) means Z lies in the circumference of the circle with (0,25) at its centre and radius less then 15. so difference in the max and min value of arg Z is

Give the introduction to scientific notation, Give the Introduction to Scie...

Give the Introduction to Scientific Notation? In mathematics, it can be very difficult and time-consuming to do calculations involving very large and very small numbers. This i

Types of series - special series , Series - Special Series In this pa...

Series - Special Series In this part we are going to take a concise look at three special series.  In fact, special may not be the correct term.  All three have been named th

Find a general solution to the differential equation, Example: Find a gene...

Example: Find a general solution to the subsequent differential equation. 2 y′′ + 18 y + 6 tan (3t) Solution First, as the formula for variation of parameters needs coe

Lori, rewrite the problem so that the divisor is a whole number...8.5/2.3

rewrite the problem so that the divisor is a whole number...8.5/2.3

Absolute value of a number, At times we consider only the magnitude o...

At times we consider only the magnitude of the number without attaching much importance to its direction. Under these circumstances the sign attached with the num

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