What is the limit as x approaches 5-of (x^2)/(x^2+6) ?

The limit as x approaches 5-of (x^2)/(x^2+6) is 25/31

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limit as x approaches 5-of (x^2)/(x^2+6)

x \to 5 - lim (\frac{x ^{2}}{x ^{2} + 6})

\frac{25}{31}

Decimal Notation

0.80645 \dots

Solution steps

x \to 5 - lim (\frac{x ^{2}}{x ^{2} + 6})

Plug in the value

x = 5

= \frac{5 ^{2}}{5 ^{2} + 6}

Simplify

= \frac{25}{31}

\int 9 \frac{x ^{3}}{x ^{7}} d x

\frac{d}{d x} (cos (arcsin (2 x)))

x^{2} - x - 4, - x^{2} + 3 x + 2

\int 12 (y^{4} + 4 y^{2} + 5)^{2} (y^{3} + 2 y) d y

\frac{d y}{d x} = sin^{2} (x - y + 1)

What is the limit as x approaches 5-of (x^2)/(x^2+6) ?
The limit as x approaches 5-of (x^2)/(x^2+6) is 25/31