General limit

Calculus Level 1

Let g ( x ) = { x 2 x ≠ 2 1 x = 2 g(x) = \left \{ \begin{array} {l l} x^2 \quad & x\ne 2 \\ 1 \quad & x=2 \end{array}\right . . Find lim ⁡ x → 2 g ( x ) \displaystyle \lim_{x\to2} g(x) .


The answer is 4.

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1 solution

Rishabh Tiwari
May 22, 2016

When x approaches 2 , i.e. , Not exactly equal to 2 but almost equal.

Therefore we evaluate :-

Lim (x→2) x^2 = 2^2 = 4.

Ans. Thank you!!

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