Use the graph of f to estimate each limit, or write und (meaning undefined) if no limit exists. Use inf for ∞.limx→1−f(x)= limx→1+f(x)= limx→1f(x)=

To estimate the limits based on the graph of the function $f$, we would typically observe the behavior of $f(x)$ as $x$ approaches 1 from the left and right, as well as the value of $f(1)$.

However, since I cannot see the graph, I can guide you on how to determine these limits based on its characteristics.

Step 1: Evaluate $\lim_{x \to 1^-} f(x)$

1. Observe the values of $f(x)$ as $x$ approaches 1 from the left.
2. If $f(x)$ approaches a specific finite value, that value becomes the limit. If it approaches infinity or oscillates, document that.

Step 2: Evaluate $\lim_{x \to 1^+} f(x)$

1. Observe the values of $f(x)$ as $x$ approaches 1 from the right.
2. Determine if it approaches a specific finite value, infinity, or if it oscillates.

Step 3: Evaluate $\lim_{x \to 1} f(x)$

1. Compare the results from Step 1 and Step 2.
2. If both left-hand and right-hand limits are equal, then this value is the limit at $x = 1$.
3. If they are not equal, write "und" for undefined.

Example Findings

• If $\lim_{x \to 1^-} f(x) = 2$, and $\lim_{x \to 1^+} f(x) = 3$, then:
  • $\lim_{x \to 1} f(x) = \text{und}$

Final Answer

Based on the analysis of the graph, state the results as follows:

• $\lim_{x \to 1^-} f(x) = [value]$
• $\lim_{x \to 1^+} f(x) = [value]$
• $\lim_{x \to 1} f(x) = [value \text{ or } \text{und}]$

Please replace "[value]" with the values seen in the graph accordingly.