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speed limit
maximum safe speed a vehicle can reach on a road
30 km/h
speed limit on a school
100 km/h
speed limit on a national highway
120 km/h
speed limit on an express highway
weight limit
maximum weight a structure or object can safely carry
20-30 kg
maximum luggage weight limit for economy class
40 kg
maximum luggage weight limit for business class
50 kg
maximum luggage weight limit for first class
height limit
maximum height allowed for a person, vehicle or object
vertical limit
highest altitude at which humans can survive
maximum
18,000 ft
highest altitude where humans can survive above sea level
vertical clearance
minimum height available for vehicles or objects to pass under a structure
"the sky is the limit"
a value can keep going higher and higher without an end
there are no boundaries to what you can achieve in life
limit as a value
tells us the function's value as the input gets closer and closer to a certain number
limit as a measure of infinite behavior
a limit can be infinite showing how a function grows without bound as the input approaches a certain value
limit at infinity
a limit describes the behavior of a function as the input becomes very large/small
limits as a tool for continuity
a function is continuous at a point if the limit exists and equals the functions value at that point
limits at the derivative
limits are used to find the instantaneous rate of change of a function, such as its slope at a specific point
limits and the integral
limits are used to find the exact accumulated area or total value by adding together many very small parts
limit
values that a function approaches as the input x gets closer and closer to a certain number
limx→a f(x) = L
notation of the limit of f(x) as x approaches a is L
x→a +
right hand limit
x→a -
left hand limit