20. Evaluate the limit or show that the limit does not exist. Show proper work. sin y cos y ye (a) (b) (c) lim (x,y) →(0,7) x²y² lim (x,y) (0,0) x4 + 3y¹ lim (x,y) →(0,0) tan(x² + y²) x² + y²

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 37E: Use graphical differentiation to verify that ddxex=ex.
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20. Evaluate the limit or show that the limit does not exist. Show proper work.
sin y cos y
yex
(a)
(b)
(c)
lim
(x,y) →(0,7)
x ² y ²
lim
(x,y) →(0,0) x² + 3y4
lim
(x,y)→(0,0)
tan(x² + y²)
x² + y²
Transcribed Image Text:20. Evaluate the limit or show that the limit does not exist. Show proper work. sin y cos y yex (a) (b) (c) lim (x,y) →(0,7) x ² y ² lim (x,y) →(0,0) x² + 3y4 lim (x,y)→(0,0) tan(x² + y²) x² + y²
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