A piecewise function is given. Use properties of limits to find the shown indicated limit, or state that the limit does not exist.

nitraiddQ
2021-02-03
Answered

A piecewise function is given. Use properties of limits to find the shown indicated limit, or state that the limit does not exist.

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Maciej Morrow

Answered 2021-02-04
Author has **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.

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