What is the limit as $x$ approaches $2$ for $sin(x^2 - 3x + 2)/x^2 - 2$ ?

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Answer 1 · 2017-02-26T15:37:49

$-2$

Evaluate through substitution.

$lim_(x->2) sin(x^2 - 3x + 2)/x^2 - 2$

$sin(2^2 - 3(2) + 2)/2^2 - 2$

$sin(0)/4 - 2$

$0/4 - 2$

$-2$

Hopefully this helps!

What is the limit as xx approaches 22 for sin(x^2 - 3x + 2)/x^2 - 2sin(x^2 - 3x + 2)/x^2 - 2?