What is the limit of sin (X-2) / X-2 when x tends to 2? What's more, when x → 0, | SiNx | / X does not exist?

What is the limit of sin (X-2) / X-2 when x tends to 2? What's more, when x → 0, | SiNx | / X does not exist?

When x tends to 2, the limit of sin (X-2) / X-2 is 1. Let X-2 = y. that is to say, when y tends to 0, the limit of sin Y / y is 1
Because when x tends to 0 from the positive direction: | SiNx | / X tends to 1, and when x tends to 0 from the negative direction: | SiNx | / x = - 1. So when x → 0, the limit of | SiNx | / X does not exist