Continuity

Question 1

Continuity

Answer 1

f is continuous at c if 3 conditions are met:
1. f(c) is defined
2. lim f(x) exists
x—> c
3. lim f (x)= f(c)
x—> c

Question 2

Limits of Trig Functions

Answer 2

lim sinx/x = 1
x–> 0

lim. 1-cos x/x = 0
x—>0

Question 3

Squeeze Theorem

Answer 3

if h(x) < f(x) < g(x) for every x in open interval containing c, except possibly at c itself, and if lim. (x)=L=Lim
h

Question 4

Existence of Limits

Question 5

Continuity on Closed Intervals

Question 6

Intermediate Value Theorem

Question 7

Horizontal Asymptote

Question 8

L’ Hopitals Rule

Question 9

Definition of Derivative

Question 10

Product Rule

Question 11

Quotient Rule

Question 12

Derivatives of Trig Functions

Answer 12

sin x=
cos x=
tan x
csc x=
sec x=
cot x=

Question 13

Differentiability
—————-> Continuous

Question 14

Derivatives of e^x

Question 15

Derivatives for other Bases other than e

Question 16

Derivatives of ln x

Answer 16

ln x=1/x
ln u=1/u * u’

Question 17

XDerivative of Inverse Functions