What is the limit as x approaches 10 of (10x)/(2x+5) ?

The limit as x approaches 10 of (10x)/(2x+5) is 4

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limit as x approaches 10 of (10x)/(2x+5)

x \to 10 lim (\frac{10 x}{2 x + 5})

4

Solution steps

x \to 10 lim (\frac{10 x}{2 x + 5})

Plug in the value

x = 10

= \frac{10 \cdot 10}{2 \cdot 10 + 5}

Simplify

= 4

x \to \frac{π}{4} lim (tan (2 x) tan (\frac{π}{4} - x))

x \to 0 lim ((1 - 7 x)^{\frac{8}{x}})

x \to \infty lim (\frac{π}{2})

x \to - 2 lim (x - 3)

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

What is the limit as x approaches 10 of (10x)/(2x+5) ?
The limit as x approaches 10 of (10x)/(2x+5) is 4