Evaluate trig functions limits, Mathematics

Assignment Help:

Evaluate following limits.

(a)

905_trig function.png

(b)   

888_trig function1.png

Solution

There in fact isn't a whole lot to this limit. In this case because there is only a 6 in the denominator we'll just factor out this and then employ the fact.

 (e)

1708_trig function2.png

 

This limit almost looks the similar as that actually in the sense that the argument of the sine is the similar as what is in the denominator.  Though, notice as well that, in the limit, value of x is going to 4 and not 0 as the fact requires.  Though, along with a change of variables we can illustrate that this limit is actually set to use the fact above regardless.

26_trig function3.png

Hence, let θ = x -4 and then notice that as change of variable the limit becomes, x → 4 we have θ → 0 .  Thus, after doing the

2486_trig function4.png

All that is needed to use the fact is that the argument of the cosine is the same as the denominator.


Related Discussions:- Evaluate trig functions limits

Modeling with first order differential equations, We here move to one of th...

We here move to one of the major applications of differential equations both into this class and in general. Modeling is the process of writing a differential equation to explain a

Example of imaginary numbers, Example of Imaginary Numbers: Example 1...

Example of Imaginary Numbers: Example 1: Multiply √-2  and √-32 Solution: (√-2)( √-32) = (√2i)( √32i) =√64 (-1) =8 (-1) =-8 Example 2: Divid

Decision-making under conditions of certainty, Decision-Making Under Condit...

Decision-Making Under Conditions of Certainty Conditions of certainty tend to be rare, especially when significant decisions are involved. Under conditions of certainty, decis

What is this distance expressed in standard notation, The distance from the...

The distance from the sun to the earth is approximately 9.3 × 10 7 miles. What is this distance expressed in standard notation? In order to convert this number to standard not

Alternate notation of derivative, Alternate Notation : Next we have to dis...

Alternate Notation : Next we have to discuss some alternate notation for the derivative. The typical derivative notation is the "prime" notation. Though, there is another notation

Basic differential equation, Two 1000 liter tanks are containing salt water...

Two 1000 liter tanks are containing salt water. Tank 1 has 800 liters of water initially having 20 grams of salt dissolved in this and tank 2 has 1000 liters of water and initially

What is uniform distribution, Q. What is Uniform Distribution? Ans. ...

Q. What is Uniform Distribution? Ans. A distribution is the set of possible values of a random variable considered in terms of their theoretical or observed frequency. Th

Show line graphs and histograms, Q. Show Line graphs and Histograms? A...

Q. Show Line graphs and Histograms? Ans. Line graphs are closely related to histograms. Look at the graph below. It shows the line graph of the example above but also in

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