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

The limit as x approaches+1 of xsin(1/x) is sin(1)

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

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

sin (1)

Decimal Notation

0.84147 \dots

Solution steps

x \to 1 lim (x sin (\frac{1}{x}))

Plug in the value

x = 1

= 1 \cdot sin (\frac{1}{1})

Simplify

= sin (1)

\frac{\partial}{\partial y} (\frac{y}{y + x})

\int_{- 2}^{0} x + 2 d x

f (x) = 2 e^{2 x}

x \frac{d y}{d x} = y + x^{2} - y^{2}, x > 0

x = 2 + y + 3, x = 2 - y + 3, x = y - 1

What is the limit as x approaches+1 of xsin(1/x) ?
The limit as x approaches+1 of xsin(1/x) is sin(1)