Let me first take a look at the document you've uploaded to identify the problems. I'll extract the relevant information and then solve the questions for you. PyPDF2 import PdfReader

Load the uploaded PDF file

pdf_path = "/mnt/data/1738593060015cdybmdgy.pdf" reader = PdfReader(pdf_path)

Extract the text from all pages of the PDF

text = '' for page in reader.pages: text += page.extract_text()

Show the first 1000 characters to get a sense of the document content

text[:1000] # Displaying a sample to review structureIt looks like the document contains problems related to Maclaurin series expansions. Here’s a quick overview of what I can gather from the extracted text:

1. Problem 1:

   • Find the series expansion of some function in ascending powers of $x$, up to a certain term.
   • A follow-up question asks for the set of values of $x$ for which the value is within a given range.

2. Problem 2:

   • Using a standard series, find the Maclaurin series for a function (likely involving $\tan(x)$) up to the term involving $x^4$.

3. Problem 3:

   • Expand another function in ascending powers of $x$ up to a certain term, followed by a question about the set of values for $x$.

I'll now focus on solving these. Do you want me to go step-by-step through each problem, or is there a specific part you'd like me to address first?