What is the limit as x approaches 3 of (f(x)-f(pi))/(sqrt(x)-\sqrt{3)} ?

The limit as x approaches 3 of (f(x)-f(pi))/(sqrt(x)-\sqrt{3)} is diverges

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limit as x approaches 3 of (f(x)-f(pi))/(sqrt(x)-\sqrt{3)}

x \to 3 lim (\frac{f ( x ) - f ( π )}{x - 3})

diverges

Solution steps

x \to 3 lim (\frac{f ( x ) - f ( π )}{x - 3})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 3 + lim (\frac{f ( x ) - f ( π )}{x - 3}) = - \infty

x \to 3 - lim (\frac{f ( x ) - f ( π )}{x - 3}) = \infty

= diverges

What is the limit as x approaches 3 of (f(x)-f(pi))/(sqrt(x)-\sqrt{3)} ?
The limit as x approaches 3 of (f(x)-f(pi))/(sqrt(x)-\sqrt{3)} is diverges