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Find the limits in Exercises $1-12$.$$\lim _{(x, y) \rightarrow(0, \pi / 4)} \sec x \tan y$$

1

01:22

Carson M.

01:17

Calculus 3

Calculus 1 / AB

Chapter 14

Partial Derivatives

Section 2

Limits and Continuity in Higher Dimensions

Applications of the Derivative

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using direct substitution here, we could go ahead and substitute zero for X. So we'll have second of zero. And that's the same thing as one over co sign of zero, which would all just be one and then multiply by tangent Of Pi over four. And we could imagine that as shoes red there. We can imagine that is signed by over four, divided by co sign pile report. And both of those intersect and they have the same height. If we're looking at it graphically and so because they have the same height, they'll reduce to one. So our final answer for this one would just end up being one.

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