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

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

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limit as x approaches 1 of (x+1)/(2x-1)

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

2

Solution steps

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

Plug in the value

x = 1

= \frac{1 + 1}{2 \cdot 1 - 1}

Simplify

= 2

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

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

x \to \infty lim (\frac{6 x ^{2} - 7 x + 10}{5 x ^{3} + 2 x ^{2} - 4 x + 5})

x \to 0 lim (x^{2} lo g_{e} (x))

x \to 2 - lim (x (2))

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