Unit 1

Functions are usually exactly at a __________

number

Limits get arbitrarily close to a number _________________ (y)

as x gets closer to that said number either side

Limits on the left

Would have a negative sign (x → c^-)

Limits on the right

Would have a positive sign (x → c^+)

Removable discontinuity means

when the function is 0/0, but you’re still able to manipulate it algebraically

A continuous is when

1. Function exists

2. Limit exists

3. Both limit and function have the same y-value

Special trig function (Hint it’s relating with the squeeze theorem and sin)

Limit (x → 0) sin x/x = 1

Special trig function (Hint it’s relating with the squeeze theorem and cosine)

Limit (x→ 0) 1-cosx/x = 0