What is the limit as x approaches 3 of (x^2+9)/(x+3) ?

The limit as x approaches 3 of (x^2+9)/(x+3) is 3

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limit as x approaches 3 of (x^2+9)/(x+3)

x \to 3 lim (\frac{x ^{2} + 9}{x + 3})

3

Solution steps

x \to 3 lim (\frac{x ^{2} + 9}{x + 3})

Plug in the value

x = 3

= \frac{3 ^{2} + 9}{3 + 3}

Simplify

= 3

x \to 1.4 lim ([x])

x \to 0 lim (\frac{tan ( x )}{x ^{2} cot ( 3 x )})

x \to 1 lim (\frac{5 x}{x - 1})

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

x \to 0 lim (arcsin (\frac{1}{x}))

What is the limit as x approaches 3 of (x^2+9)/(x+3) ?
The limit as x approaches 3 of (x^2+9)/(x+3) is 3