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Dovator [93]
2 years ago
7

The limit represents the derivative of some function f at some number a. State such an f and a.

Mathematics
1 answer:
Alexxx [7]2 years ago
7 0
Limit definition of the Derivative of a function:\lim_{h \to 0}  \frac{f(x+h)-f(x)}{h} At x = a:\lim_{h \to0}  \frac{f(a+h)-f(a)}{h}
If: h = x -π/4, we will have:\lim_{h \to  \pi /4}  \frac{tan ( \pi /4 +h)-1}{h} When we compare it with a limit definition:
f( x )= tan x
f( a ) = 1
tan ( a ) = 1,  a = π/4  


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