What is the limit as x approaches c of (f(x))/(g(x)) ?

The limit as x approaches c of (f(x))/(g(x)) is (f(c))/(g(c))

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limit as x approaches c of (f(x))/(g(x))

x \to c lim (\frac{f ( x )}{g ( x )})

\frac{f ( c )}{g ( c )}

Solution steps

x \to c lim (\frac{f ( x )}{g ( x )})

Plug in the value

x = c

, assuming the function is continuous at this point

= \frac{f ( c )}{g ( c )}

x \to - 2 lim (x + 6)

x \to - 1 lim (5 x + 2)

x \to 0 lim (\frac{( x ^{2} - 1 )}{x})

x \to 2 lim (3 x^{2} - 6)

x \to \frac{π}{2} + lim (cot (x))

What is the limit as x approaches c of (f(x))/(g(x)) ?
The limit as x approaches c of (f(x))/(g(x)) is (f(c))/(g(c))