# calculus limits noxes

## 34 terms

infinity

0

### limit of a 1/x reaching 0

dne bc negative from left and positive from right

infinity

1

1

### solve for cosx-1/x

multiply both by cosx+1 and get cos ' 2 x -1 / x( cosx+1)

1-cos'2x

1/sin

1

sec'2

csc'2

cos( U) and vv

sin (u)

cot(u)

tan (U)

csc(U)

sec(U)

2(sin(u)cos(u))

### cos(2u)

cos'2 (u) - sin'2 (u)=

### cos'2 (u) - sin'2 (u)

2cos'2(u)-1= 1- 2 sin'2(u)

### tan (2u)

2 tan (u) / 1-tan'2 (u)

### sinusinv

cos(u-v)- cos(u+v) /2

### cos U cos V

cos (u-v) + cos (u+v) /2

### cos u sin v

sin (u+v) - sin (u-v) /2

### sin u cos v

sin ( u+ v ) + sin (u-v) /2

a

a/b

7/11 * 7/11

### sin (a+b)

sin a cos b + cos a sin b

0

1

### an essential discontinuity is a discontinuity at which

the limit of the function does not exist.

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