Question
Find the limit (if it exists).$$\lim _{t \rightarrow 0}\left(t^{2} \mathbf{i}+3 t \mathbf{j}+\frac{1-\cos t}{t} \mathbf{k}\right)$$
Step 1
Step 1: We are given the limit: $$\lim _{t \rightarrow 0}\left(t^{2} \mathbf{i}+3 t \mathbf{j}+\frac{1-\cos t}{t} \mathbf{k}\right)$$ We can see that the limit is a vector, so we can find the limit of each component separately. Show more…
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