- #1
greg_rack
Gold Member
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- Homework Statement
- Determine ##a## so that ##f(x)=\frac{ax^2-16}{x^2-6x+8}## has a removable singularity for ##x=2##
- Relevant Equations
- none
So, for this exercise I'm considering the removable singularity for ##x=2## to cause ##f(2)## to be different from ##\lim_{x \to 2}f(x)##.
But as soon as I write everything down, I get stuck here: ##\lim_{x \to 2}f(x)\neq\frac{4(a-4)}{0}##
How do I calculate ##a##?
But as soon as I write everything down, I get stuck here: ##\lim_{x \to 2}f(x)\neq\frac{4(a-4)}{0}##
How do I calculate ##a##?