Question
Find the limit.$ \lim_{t\to 0} \left(e^{-3t} i + \frac{t^2}{\sin^2 t}\ j + \cos 2t\ k \right) $
Step 1
Step 1: First, we need to find the limit of each component separately as $t$ tends to $0$. Show more…
Show all steps
Your feedback will help us improve your experience
Sanchit Jain and 57 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find the limit. $$\lim _{t \rightarrow 0}\left(e^{-3 t} \mathbf{i}+\frac{t^{2}}{\sin ^{2} t} \mathbf{j}+\cos 2 t \mathbf{k}\right)$$
Vector Functions
Vector Functions and Space Curves
Find the limit. $ \lim_{t\to 1} \left(\frac{t^2 - t}{t - 1}\ i + \sqrt{t + 8}\ j + \frac{\sin \pi t}{\ln t}\ k \right) $
Find the limits. $$ \lim _{t \rightarrow 0} \frac{t^{2}}{1-\cos ^{2} t} $$
LIMITS AND CONTINUITY
Continuity of Trigonometric, Exponential, and Inverse Functions
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD