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)

y = x^{4} - 3 x^{2} + 2, (1, 0)

x \to 2 - lim (\frac{∣ x - x ∣}{x - 2})

\frac{d}{d x} (tan (3 x) s c^{3} x)

\int \frac{1}{x 1 - 4 x ^{2}} d x

f (x) = \frac{x ^{4}}{4} - 2 x^{2} - 4

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)