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

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

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

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

2

Solution steps

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

Plug in the value

x = 1

= \frac{4}{1 + 1}

Simplify

= 2

x \to 0 lim (cos^{\frac{1}{x}} (3 x))

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

x \to 0 + lim (3 x ln (\frac{1}{x}))

x \to 0 lim (\frac{1}{x} + ln (x))

x \to 0 lim (\frac{4 x}{e ^{x} - 1})

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