Question
Show that equation (31.10) reduces to (31.4) as the $\delta_i$ tend to zero.
Step 1
10), which is given as: $\lim_{\delta_i \to 0} \left( \frac{f(x_1 + \delta_1, x_2 + \delta_2, ..., x_n + \delta_n) - f(x_1, x_2, ..., x_n)}{\delta_1} \right) = \frac{\partial f}{\partial x_1}$ Show more…
Show all steps
Your feedback will help us improve your experience
Khoobchandra Agrawal and 64 other 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
Show that $\mathscr{F}\{1\}=2 \pi \delta(k)$
Prove the result in Example 3 under the assumption that $\delta \leq 2$ rather than $\delta \leq 1$
Limits and Continuity
Limits (Discussed More Rigorously)
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD