whats the limit of 2xlog(x^2+y^2) as (x,y)->(0,0) please give an explanation eg definition of limit or sandwich.pinching theorem dont use the fact that log(x)
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Use polar coordinates
x = rcosθ
y = rsinθ
x² + y² = r²(cos²θ + sin²θ) = r²
Limit 2rcosθ * ln(r²)
r --> 0+
Use L'hopital and you see it = 0.
x = rcosθ
y = rsinθ
x² + y² = r²(cos²θ + sin²θ) = r²
Limit 2rcosθ * ln(r²)
r --> 0+
Use L'hopital and you see it = 0.
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keywords: help,some,need,Limit,question,Limit question need some help