What is the limit as x approaches 1 of (x+4)/(1+x^2) ?

The limit as x approaches 1 of (x+4)/(1+x^2) is 5/2

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limit as x approaches 1 of (x+4)/(1+x^2)

x \to 1 lim (\frac{x + 4}{1 + x ^{2}})

\frac{5}{2}

Decimal Notation

2.5

Solution steps

x \to 1 lim (\frac{x + 4}{1 + x ^{2}})

Plug in the value

x = 1

= \frac{1 + 4}{1 + 1 ^{2}}

Simplify

= \frac{5}{2}

\int x x^{2} + 4 d x

x \to 0 lim (\frac{( a ^{x} - b ^{x} )}{x})

\int \frac{70}{49 - x ^{2}} d x

f (x) x^{2} + 3 a y, x = - 1

5 x - x^{2}, x

What is the limit as x approaches 1 of (x+4)/(1+x^2) ?
The limit as x approaches 1 of (x+4)/(1+x^2) is 5/2