nitraiddQ
2021-02-03
A piecewise function is given. Use properties of limits to find the shown indicated limit, or state that the limit does not exist.
Maciej Morrow
Skilled2021-02-04Added 98 answers
Given
we know for any given function g(x) limit at given point x=h exist only
if,
thus, we are finding left hand limit and right hand limit one by one at x=1, if both are coming same then limit will exist other limit of given function will not exist
so,
Now finding right hand limit also
here
L.H.L != R.H.L.
hence, for given function limit at x=1 doesn't exists.
Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function
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