Evaluate the limit Lim (x+2)/((√x^2-4))x→2
To evaluate the limit, we can directly substitute the value of x=2 into the given expression and simplify:
Lim (x+2)/((√(x^2-4))) as x approaches 2
Plugging in x=2, we get:
Lim (2+2)/((√(2^2-4)))
= Lim (4)/(√(4-4))
= Lim (4)/(√(0))
Now, we have a division by zero situation in the denominator
To evaluate the limit, we can directly substitute the value of x=2 into the given expression and simplify:
Lim (x+2)/((√(x^2-4))) as x approaches 2
Plugging in x=2, we get:
Lim (2+2)/((√(2^2-4)))
= Lim (4)/(√(4-4))
= Lim (4)/(√(0))
Now, we have a division by zero situation in the denominator. This means the limit is undefined, as the expression approaches infinity.
Therefore, the limit Lim (x+2)/((√x^2-4)) as x approaches 2 is undefined.
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