Limits Flashcards
Explain limits
Standard limits 1
Standard limits 2
Standard limits 3
Standard limits 4
Standard limits 5
Standard limits 6
Standard limits 7
Standard limits 8
Standard limits 9
Standard limits 10
Indeterminate forms (7)
L-Hospital Rule
If you have limit approaches to infinity and polynomial, what to do?
Take the highest degree common
If you have 0x∞ form, what to to
If you have 0x∞ form, make it in 0/0 or ∞/∞ form
example: f(x).g(x) is in the 0x∞ form then write it as
If you ∞-∞ indeterminate form, what to do
Write function into another form
for ex: make unrationalized into rationalized
If x->0 then (1+x)ⁿ
If x->0 then (1+x)ⁿ ≅1+nx
When will (1+x)ⁿ becomes 1+nx
when x->0
Piecewise function
How to break |f(x)|
What is f(x) = |x|
What is f(x) = |cos x|
What to do in mode graph
Make the -ve y graph (i.e. graph in 3rd and 4th quadrant) +ve (i.e. make the mirror image w.r.t. to x axis of -ve)
Greatest integer function