5. Determine the following limits. If infinite, specify ∞ or -∞o. If an answer does not exist, explain why. (NO POINTS WILL BE GIVEN IF A TABLE OF VALUES IS USED) 1 A 1 In(x) a. 7x-2x lim x-0 11x - 12x b. lim x1+x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**5. Determine the following limits. If infinite, specify \(\infty\) or \(-\infty\). If an answer does not exist, explain why.**

*(NO POINTS WILL BE GIVEN IF A TABLE OF VALUES IS USED)*

**a.** \(\lim_{{x \to 0}} \frac{7^x - 2^x}{11^x - 12^x}\)

**b.** \(\lim_{{x \to 1^+}} \left[ \frac{x}{x - 1} - \frac{1}{\ln(x)} \right]\)
Transcribed Image Text:**5. Determine the following limits. If infinite, specify \(\infty\) or \(-\infty\). If an answer does not exist, explain why.** *(NO POINTS WILL BE GIVEN IF A TABLE OF VALUES IS USED)* **a.** \(\lim_{{x \to 0}} \frac{7^x - 2^x}{11^x - 12^x}\) **b.** \(\lim_{{x \to 1^+}} \left[ \frac{x}{x - 1} - \frac{1}{\ln(x)} \right]\)
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