please draw the picture of the formula: f(x)=1/(1-x)

Here is the graph of the function \( f(x) = \frac{1}{1-x} \). The red dashed line represents the asymptote at \( x = 1 \).

Would you like more details or have any questions?

Here are five questions you might want to ask:
1. Can you explain why there is an asymptote at \( x = 1 \)?
2. What happens to \( f(x) \) as \( x \) approaches 1?
3. Can you show the calculations for finding the limits of \( f(x) \) as \( x \) approaches 1?
4. How do you find the derivative of \( f(x) \)?
5. Can you show the integral of \( f(x) \)?

Tip: When plotting functions with asymptotes, always check the behavior of the function near the asymptotes to understand how the function behaves at those points.

Explore the graph of the function f(x) = 1/(1-x) with a clear explanation of the asymptote at x = 1. Learn about its behavior near the asymptote, limits, derivatives, and integrals. Suitable for advanced high school students and beyond.

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