Compute the following limits or state that they don’t exist:…

Compute the following limits or state that they don’t exist:1. (2 points) \(\displaystyle \lim\limits_{t \to -\infty} \frac{6t^2 + t – 5}{9 – 2t^2}\) 2. (2 points) \(\displaystyle \lim\limits_{x \to 3^{-}} \frac{x^2 + x – 12}{|x – 3|}\) 3. (3 points) \(\displaystyle \lim\limits_{h \to 0} \frac{(-2 + h)^{-1} + 2^{-1}}{h}\)

  Midterm Analytic Exam Considering 2 readings you have read…

  Midterm Analytic Exam Considering 2 readings you have read in Modules 2 and 3  AND The Handmaid’s Tale Using 1 of the literary theories you learned about in Module 1 Choose and discuss only 1 of the following themes: conquest creativity discrimination  freedom friendship gender roles language machismo politics racism religion/spirituality romantic love   Your essay must: be at least 500 words include 1 introduction, 2/3 body, and 1 conclusion paragraphs  refer to specific scenes/examples from the texts address the prompt analyze and not summarize discuss 2 texts you read in Modules 2 and 3 and The Handmaid’s Tale use 1 literary theory to help your analysis    

Consider the following function:\(f(x) = 3x^2 + x – 1\)Use t…

Consider the following function:\(f(x) = 3x^2 + x – 1\)Use the limit definition of the derivative to find \(f'(x)\). For this part, you may not use any of the differentiation rules or identities, including the power rule, product rule, quotient rule, or chain rule — you must evaluate the limit by hand.