Question

Find lim x->2 for f(x)=

Answer 1

LHL in not equal to RHL , Therefore the limit does not exists , Option D is the answer.(none)

What is the limit of a function ?

The limit of a function at a certain point is the value that the function approaches as the argument of the function approaches the same point.

It is given that

lim x->2 for f(x)

$\lim_{x \rightarrow 2^-}f(x) = \lim_{x\rightarrow 2^+}f(x)$

f(x) = 2x+1 x ≤2

f(x)= x² , x >2

When both the function tends to 2

Left Hand Limit

f(x) = 2 *2 +1

f(x) = 5

Right Hand Limit

f(x) = x² ,

f(x) = 4

LHL in not equal to RHL , Therefore the limit does not exists.

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