Find the limit, if it exists, or type dne if it does not exist.lim(x,y)→(−35,5)xycos(x+7y)=
Question
Find the limit, if it exists, or type dne if it does not exist.lim(x,y)→(−35,5)xycos(x+7y)=
Solution
The limit of a function as (x,y) approaches (-35,5) is found by substituting these values into the function.
So, we have:
lim(x,y)→(-35,5) xy cos(x+7y)
= (-35)(5) cos((-35)+7(5))
= -175 cos(0)
= -175 * 1
= -175
So, the limit of the function as (x,y) approaches (-35,5) is -175.
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