6. Find 1 - cost lim 1+0 t state that it does not exist. e-¹k) o i + tant j + e or
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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![**6.** Find
\[
\lim_{{t \to 0}} \left( \frac{1 - \cos t}{t} \mathbf{i} + \tan t \mathbf{j} + e^{-t} \mathbf{k} \right)
\]
or state that it does not exist.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55815b3c-2575-4201-a9dc-5a4b41a14c1d%2F856b9957-bd60-4d2a-bc03-47be6ded9a2b%2F5bvfvl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**6.** Find
\[
\lim_{{t \to 0}} \left( \frac{1 - \cos t}{t} \mathbf{i} + \tan t \mathbf{j} + e^{-t} \mathbf{k} \right)
\]
or state that it does not exist.
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