Limits flashcards
16 practice cards drawn from the Limits lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.
Read the Limits lessons in full →
What does as n grows without bound approach?
2
from “The Idea of a Limit”
What does continuing forever approach?
1
from “The Idea of a Limit”
The left limit is 0 and the right limit is 0. Does the limit exist?
yes
from “One Sided Limits”
The left limit is 3 and the right limit is 3. Does the limit exist?
yes
from “One Sided Limits”
and . May the quotient law be used on ?
no — the denominator’s limit is 0
from “The Limit Laws”
If and , what does f × g approach?
18
from “The Limit Laws”
What is the limit of as ?
6
from “Indeterminate Forms”
What is the limit of as ?
8
from “Indeterminate Forms”
What is the limit of as ?
from “Limits at Infinity”
What is the limit of as ?
from “Limits at Infinity”
f is trapped between two functions that both approach 4. What does f approach?
4
from “The Squeeze Theorem”
f is trapped between two functions that both approach 2. What does f approach?
2
from “The Squeeze Theorem”
The squeeze proof traps between which two functions?
cos x and 1
from “The Limit of sin x over x”
Why must x be in radians?
only in radians is sin x close to x near 0
from “The Limit of sin x over x”
For small x, ?
from “Small-Angle Approximations”
The approximations hold only when x is measured in which unit?
radians
from “Small-Angle Approximations”