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F(x)= x + 2. Intuitively, I know that if I were to substitute 2 to x I would get 4.

F(4)= 2+ 2 = 4. This appears to be correct.

Likewise, the LIMIT of F(x) AS X APPROACHES 2. F(x) = x+ 2. I'm going to use direct substitution. F(2)=2+2=4.

Does F(x)=Limit?

Also, I was under the wrong idea that it meant the limit was that number so you could never reach that number. So I also came to think well then this is telling me I can put in any number that's very close to 2 and I will get a number very close to 4. This is too obvious to be true. F(x)= 2 + 2 , F (1.999)= 1.999 + 2 = 3.999