What is the limit as x approaches 5-of arcsin(x/5) ?

The limit as x approaches 5-of arcsin(x/5) is pi/2

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limit as x approaches 5-of arcsin(x/5)

x \to 5 - lim (arcsin (\frac{x}{5}))

\frac{π}{2}

Decimal

1.57079 \dots

Solution steps

x \to 5 - lim (arcsin (\frac{x}{5}))

Plug in the value

x = 5

= arcsin (\frac{5}{5})

Simplify

arcsin (\frac{5}{5}) : \frac{π}{2}

= \frac{π}{2}

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

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

x \to 0 lim (\frac{1}{3 x ^{\frac{2}{3}}})

x \to π lim (\frac{ln ( cos ( 2 x ) )}{( x - π ) ^{2}})

x \to 4 lim (x^{2} - 4 x + 3)

What is the limit as x approaches 5-of arcsin(x/5) ?
The limit as x approaches 5-of arcsin(x/5) is pi/2