Logo

Go on. Explore!

lvl 0 • 0 xp

lvl 1

HomeMarketDecksInterests
Calculus

Calculus

memorize.aimemorize.ai (lvl 286)
Star 0%
Star 0%
Star 0%
Star 0%
Star 0%
(0)
(0)
(0)
29 cards
()
Section 1

Preview this deck

tan-1(∞)

Front

1 / 29

CalculusMath
Star 0%
Star 0%
Star 0%
Star 0%
Star 0%

0.0

0 reviews

5
0
4
0
3
0
2
0
1
0

Active users

0

All-time users

0

Favorites

0

Last updated

6 years ago

Date created

Mar 1, 2020

Cards (29)

Section 1

(29 cards)

tan-1(∞)

Front

pi/2

Back

if IrI < 1 (r is the constant)

Front

An/1-r

Back

Case 4 (no infinity)

Front

1. Set infinity to t. (on the limit that makes the expression 0) 2. differentiate. 3. then subtract.

Back

6!

Front

720

Back

if IrI >= 1 (r is the constant)

Front

div.

Back

0!

Front

1

Back

Case 6

Front

1. Split up the infinities to (upper limit to a non-problem number (that is less than the problem number) and lower limit) and (upper limit and to a non-problem number(that is more than the problem number) ). 2. Set infinity to t. 3. differentiate. 4. then subtract.

Back

e∞

Front

∞

Back

1/x^2

Front

-1/x

Back

3!

Front

6

Back

∞

Front

Converges

Back

1!

Front

1

Back

Test for Diverges

Front

An != 0

Back

2!

Front

2

Back

4!

Front

24

Back

Case 1 (upper limit at infinity)

Front

1. Set infinity to t. 2. differentiate. 3. plug in the limits.

Back

{1,-1,1,-1,.....}

Front

An = (-1)^n

Back

5!

Front

120

Back

{1,5,9,13,17,21...}

Front

An = A1 + (n - 1)d, d = domain

Back

{1,2,4,8,16....}

Front

2^n

Back

{0,2,4,6,8,....}

Front

An = 2n

Back

{1,3,5,7,9.....}

Front

An = 2n - 1

Back

Case 3 (negative lower limit and positive upper limit)

Front

1. Split up the infinities to (upper limit 0 and lower limit (negative infinity)) and (upper limit infinity and lower limit 0). 2. Set infinity to t. 3. differentiate. 4. then subtract.

Back

Test for Diverges (Converge)

Front

An = 0

Back

Case 2 (negative infinite lower limit)

Front

1. Set infinity to t. 2. differentiate. 3. plug in the limits. 4. Le'hopitals rule on the t plug. 5. then subtract.

Back

Case 5 (no infinity)

Front

1. Set infinity to t. (on the limit that makes the expression 0) 2. differentiate. 3. then subtract.

Back

-∞

Front

Diverges

Back

e-∞

Front

0

Back

(n + 2)!

Front

1 2 n (n + 1)(n + 2)

Back