You Are Given $\lim _ { x \rightarrow a } f ( x ) = L$

question 19

Short Answer

You are given $\lim _ { x \rightarrow a } f ( x ) = L$ and a tolerance $\varepsilon$ . Find a number $\delta$ such that $| f ( x ) - L | < \varepsilon$ whenever $0 < | x - a | < \delta$ .
$\lim _ { x \rightarrow 3 } 4 x = 12 ; \quad \varepsilon = 0.01$

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Definitions:

Long-term Potentiation (LTP)

A long-lasting increase in signal transmission between two neurons, believed to be a cellular mechanism underlying learning and memory.

Memory Trace

A hypothetical means by which memories are stored as biophysical or biochemical changes in the brain in response to external stimuli.

Biochemical Changes

Refers to the alterations in the chemical processes and substances within living organisms.

Recovered Memories

Memories of past events, particularly traumatic ones, that an individual becomes aware of after having been forgotten or repressed for a period.