Question
Each limit represents the derivative of some function $f$ at some number $a$. State such an $f$ and $a$ in each case.$\lim _{t \rightarrow 1} \frac{t^4+t-2}{t-1}$
Step 1
The limit given is \(\lim_{t \rightarrow 1} \frac{t^4 + t - 2}{t - 1}\). This resembles the definition of the derivative of a function \(f(t)\) at a point \(a\), which is \(\lim_{t \rightarrow a} \frac{f(t) - f(a)}{t - a}\). Show more…
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Each limit represents the derivative of some function $f$ at some number $a .$ State such an $f$ and $a$ in each case. $$ \lim _{r \rightarrow 1} \frac{t^{4}+t-2}{t-1} $$
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$33-38$ Each limit represents the derivative of some function $f$ at some number a. State such an $f$ and $a$ in each case. $$\lim _{t \rightarrow 1} \frac{t^{4}+t-2}{t-1}$$
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