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

Advantages and limitations of game theory, Advantages And Limitations Of Ga...

Advantages And Limitations Of Game Theory Advantage Game theory assists us to learn how to approach and understand a conflict condition and to develop the decision making

Statistics, reasons why we use statistics and examples of why?

reasons why we use statistics and examples of why?

Distance traveled, a) Determine the distance traveled among t = 0 and  t =∏...

a) Determine the distance traveled among t = 0 and  t =∏/2 by a particle P(x, y) whose position at time t is given by Also check your result geometrically.  (5) b) D

How to find x?, How can I solve x in a circle? For example.. m

How can I solve x in a circle? For example.. m

Objectives of ones tens and more, Objectives After studying this unit, ...

Objectives After studying this unit, you should be able to 1.  evolve and use alternative activities to clarify the learner's conceptual 2.  understanding of ones/tens/hu

Opening Account, I am expert in mathematics. How i open my expert account?

I am expert in mathematics. How i open my expert account?

Compute the center of mass of the solid, 1) Compute the center of mass of t...

1) Compute the center of mass of the solid of unit density 1 bounded (in spherical coordinates) by p=1 and by φ is greater than or equal 0 and less than or equal pi/4

Standardizing normal variables, Standardizing Normal Variables Suppose ...

Standardizing Normal Variables Suppose we have a normal population. We can represent it by a normal variable X. Further, we can convert any value of X into a corresponding valu

Solve the extraneous solutions, Solve the Extraneous Solutions ? You're...

Solve the Extraneous Solutions ? You're worst enemy (aside from arithmetic mistakes), while you're trying to solve a rational equation, is forgetting to check for extraneous so

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