It seems you've uploaded a PDF document. Let me take a look at it and identify the mathematical content you're seeking help with. I'll process the file now. PyPDF2 import PdfReader

Load the PDF to extract the text content

pdf_path = "/mnt/data/1733515728258co66g9ap.pdf" reader = PdfReader(pdf_path)

Extract text from all pages

pdf_text = "" for page in reader.pages: pdf_text += page.extract_text()

pdf_text[:2000] # Preview the first 2000 characters to get an overviewIt seems the document contains mathematical problems related to limits and continuity, but there are some formatting issues with the extracted text. Let me clean this up and provide you with a more structured view of the problems, focusing on the limits and continuity as described.

I'll extract the content related to these topics, such as:

1. Evaluating limits
2. Studying continuity of functions graphically and analytically

Let me process it further and summarize the problems for you. Clean the extracted text to remove unwanted characters and improve readability clean_text = pdf_text.replace('\n', ' ').replace(' \x0b', '').replace('\x0c', '').replace('\x05', '') clean_text[:2000] # Preview the cleaned text contentThe text extracted from the PDF is still difficult to interpret due to formatting issues, but I can infer the key topics from what is available:

Key Mathematical Problems:

1. Evaluate Limits:

   • The first problem asks you to evaluate certain limits, but the expressions for the limits are not fully clear in the text provided.

2. Study Continuity:

   • The second problem involves studying the continuity of specific functions, both graphically and analytically, particularly at $x = 3$.

Would you be able to clarify the specific limits and functions you're trying to analyze? Or, if you prefer, you can provide a clearer section of the document or more context for these problems.

Let me know how you would like to proceed!