Find each limit, if it exists. If a limit does not exist, state that fact. If f ( x ) = x 2 + 3 , find f ' ( x ) by determining lim h → 0 f ( x + h ) − f ( x ) h .
Find each limit, if it exists. If a limit does not exist, state that fact. If f ( x ) = x 2 + 3 , find f ' ( x ) by determining lim h → 0 f ( x + h ) − f ( x ) h .
Solution Summary: The author explains that the difference quotient is equal to the slope of the secant line passing through (x+h)
Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.)
lim x→+∞ 10x^4+ 500x+6/ 2x^7+9
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Estimate the limit numerically if it exists. (If you need to use or –, enter INFINITY or –INFINITY, respectively. If an answer does not exist, enter DNE.)
lim x→3
x2 − 6
x − 3
Find the limit, if it exists. (If an answer does not exist, enter DNE.)
lim x→0
3x2 − 2x
x
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