Questions: Consider the table below for the limit of f(h) as h approaches a from the left. h f(h) --------- 398.5 798 398.9 3990 398.99 39900 398.999 399000 Find the limit of f(h) as h approaches 399 from the left.

Solution Steps

To find the limit of \( f(h) \) as \( h \) approaches 399 from the left, we observe the values of \( f(h) \) as \( h \) gets closer to 399. We can see that as \( h \) approaches 399, \( f(h) \) increases significantly. By examining the pattern in the table, we can infer the behavior of \( f(h) \) as \( h \) approaches 399.

1. Observe the values of \( f(h) \) as \( h \) gets closer to 399.
2. Identify the trend in the values of \( f(h) \).
3. Conclude the limit based on the observed trend.

We are given the following values of \( h \) and their corresponding \( f(h) \):

\[ \begin{array}{|c|c|} \hline h & f(h) \\ \hline 398.5 & 798 \\ 398.9 & 3990 \\ 398.99 & 39900 \\ 398.999 & 399000 \\ \hline \end{array} \]

As \( h \) approaches \( 399 \) from the left, we observe that \( f(h) \) increases significantly.

To find \( \lim_{h \to 399^{-}} f(h) \), we look at the values of \( f(h) \) as \( h \) gets closer to \( 399 \):

• For \( h = 398.999 \), \( f(h) = 399000 \).

The trend indicates that \( f(h) \) approaches \( 399000 \) as \( h \) approaches \( 399 \).

Final Answer