Question

who here knows calculas?

Answer 1

Calculus? Me.... why? Need help?

Answer 2

Yes, with limit problems!!!!!

Answer 3

I understand how limita work, but ig et stuck on the trig functions

Answer 4

im going to upload a file with some problems and I would love for u to help me one sec! and thankyou

Answer 5

I need help with b and c piece wise functions i believe there called

Answer 6

Ok, for B, it gives you options.

It says if x is greater than less than or equal to, you use specific functions. Look at what a is equal to on the right, what would you say about the function that you would use?

Answer 7

Well because I have to find the left and right hand side limits, I know what a = which is pi/6, I would assume I would solve the left hand limit using sinx and the right hand limit using cos x! am i right?

Answer 8

I did the first one but those are real numbers not trig functions!

Answer 9

x=...
a=...

Answer 10

a=pi/6,x cna equal any input you choose to plug in to solve a sided limit, the only problem i am encountering for the trig function is what to plug in or can i solve it analyitically?

Answer 11

\[\lim as x approaches \pi/6 from the \left = \sin (-\pi/6)=-1/2????? is that \right?\]

Answer 12

Look above...
You need to solve for three limits for each.
a is the value that you are inputting for the limit.

Lets say for,
I part B...

\(\displaystyle \lim\limits_{a\rightarrow(\pi/6)^{-}}(\tan(x))=~?\)

Answer 13

ok hold on

Answer 14

well the limit as x approaches pi/6 from the left (tan(x))=radical 3/3?

Answer 15

Watch this @poiuytrewqa , I am about to be utterly out-classed :P

Answer 16

or \(\large \frac{1}{\sqrt{3}} \)

Answer 17

Go on, @austinL

Answer 18

nono plz contribute everyone

Answer 19

all ideas r good ideas, these r not easy!

Answer 20

Calculus isn't exactly my strong suit, I am still in that sequence of mathematics.

But yes, do you understand why it is \(\displaystyle \frac{1}{\sqrt{3}}~?\)

Answer 21

no

Answer 22

y?

Answer 23

Btw, this might help you as well. http://tutorial.math.lamar.edu/Classes/CalcI/OneSidedLimits.aspx

Answer 24

ok thnxs

Answer 25

can someone explain y the left hand limit is 1/radical 3?

Answer 26

The more I look at it, I would say \(\displaystyle \frac{\sqrt{3}}{3}\)

Answer 27

for which limit?

Answer 28

The one we just went over.

Answer 29

the left handed limit?

Answer 30

Yeah.

Answer 31

ok great now i got to conquer the right and full limit!

Answer 32

the unit circle does make sense!!!!! thanks

Answer 33

what about when x is appraching pi/6 from the right?

Answer 34

Tan is y/x so just evaluate that, you'll get \(\large \frac{1}{\sqrt{3}}\)

Answer 35

in reference to the one sided limit you were solving at first.

Answer 36

What do you think about the right?

Answer 37

i think maybe 0.2pi?????

Answer 38

i dont really know!

Answer 39

what r some inputs i can enter into the function to find the limit?

Answer 40

do any of u actually know the answers to any of them?

Answer 41

First of all, graph the function... it helps if you can look at a visual representation of the function whose limit you are trying to find.

Answer 42

ok hold on

Answer 43

tan(x)