1.3 limits involving infinity - stem math & calculus

This was created by Keenan Xavier Lee - 2014. See my website for more information, lee-apcalculus.weebly.com. 1.3 Limits Involving Infinity Standards : MCAZ MCAK

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This was created by Keenan Xavier Lee - 2014. See my website for more information, lee-apcalculus.weebly.com.

1.3 Limits Involving Infinity

Standards :

MCAZMCAK

Page 2: 1.3 Limits Involving Infinity - STEM Math & Calculus

This was created by Keenan Xavier Lee - 2014. See my website for more information, lee-apcalculus.weebly.com.

⇒ lnfinite

Limit>

Dxlimsfcxko

|#0oe¥ ¥ixi:*infinite limits involve VERTTCALASYMPHTEI

n@ Limits involving infinity

Nowwearelearninghowtevaluatelimutsoffunclimsasx approaches

infinity Koor - a) graphically lealgebraically .

What we know : whatwearelearningnow :

he,nafH=L timafxtl

: im fcx )=Lx

Page 3: 1.3 Limits Involving Infinity - STEM Math & Calculus

This was created by Keenan Xavier Lee - 2014. See my website for more information, lee-apcalculus.weebly.com.

Let's consider the function : fat ××k÷

THE#E⇒...

a 94. . .

, - .

20 1 .99

conclusion k±b×xHnI= .5=1

As the xvaluesgo towards infinity, they . Values ' ' tend to go

" &" settle down " at 1

BASICH Limits involving infinity is analyzing the end behavior

of a function where they - Value " settle down " to a

specific number .This specific number is called theARENALASYMLPBF .

tea faith #t⇒v

Page 4: 1.3 Limits Involving Infinity - STEM Math & Calculus

This was created by Keenan Xavier Lee - 2014. See my website for more information, lee-apcalculus.weebly.com.

Examples ] �1� ,Hm a×±^

Othfoxt #[email protected] ✓

[ Example }]tM a×3 ⇐lxlmgax'=D .ME

[ Exampled Evaluate .

:-3T.in#H=...:2

Dlxinszfcx )[email protected]=2�7�,dngzfkI=1

Page 5: 1.3 Limits Involving Infinity - STEM Math & Calculus

This was created by Keenan Xavier Lee - 2014. See my website for more information, lee-apcalculus.weebly.com.

±nlalinglmtsagobraicallytoevaluate limits of functions as x approaches a ( or - a)

,the

manipulation technique to use is to divide the numerator & denominatorby the highest degree of x that occurs in the denominator

Examples] !nsa3xHx¥I5txT

" in"k¥¥YET,¥E=t±a¥⇒±t¥÷in

t¥s#o÷:#'

¥r¥¥

÷Exeo = F.

Example DtIa↳xYx÷zto to

¥ .¥¥÷st¥=¥iIEt¥x÷t÷¥÷a¥tE÷E= 2

Wo to

Page 6: 1.3 Limits Involving Infinity - STEM Math & Calculus

This was created by Keenan Xavier Lee - 2014. See my website for more information, lee-apcalculus.weebly.com.

Example Dkny.fm#I*

neo '¥t*÷*n¥at¥÷#it±n¥fIE÷=hn 4¥t+£ O ou ax÷s¥+¥=hFatIuEI#=2 .

to Do

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