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1. Evaluate the following limits: (b) lim (te¯(¹/¹). (d) lim (x tan 1-0 t lim (1²1 (e) lim 1 (₁). log t 13³33

1. Evaluate the following limits: (b) lim (te¯(¹/¹). (d) lim (x tan 1-0 t lim (1²1 (e) lim 1 (₁). log t 13³33

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Limits Problem Set** 1. **Evaluate the following limits:** (b) \(\lim_{{t \to 0}} \left( t e^{-\left( 1/t \right)} \right)\). (d) \(\lim_{{x \to \infty}} \left( x \tan \frac{3}{x} \right)\). (e) \(\lim_{{t \to 1}} \left( \frac{t}{t-1} - \frac{1}{\log t} \right)\). (i) \(\lim_{{x \to 0}} (\sin x)^x\).
Transcribed Image Text:**Limits Problem Set** 1. **Evaluate the following limits:** (b) \(\lim_{{t \to 0}} \left( t e^{-\left( 1/t \right)} \right)\). (d) \(\lim_{{x \to \infty}} \left( x \tan \frac{3}{x} \right)\). (e) \(\lim_{{t \to 1}} \left( \frac{t}{t-1} - \frac{1}{\log t} \right)\). (i) \(\lim_{{x \to 0}} (\sin x)^x\).
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