Let f(x) be a function defined by f(x)={4x−5, if 'x' is less than or equal to 2. {x- lambda, if 'x' is greater than 2. find lambda if lim x tends to 2 f(x) exists.
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Given function
The LHL and RHL
The limit exists if and only if LHL and RHL are equal.
So,
If the limit which equals the functional value exists, the function is called to be continuous.
If the limit or functional value does not equal, the function is called to be discontinuous.
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