What is the limit as x approaches 1 of-1x^{-1-1}sin(1/x)-x^{-1-2}cos(1/x) ?

The limit as x approaches 1 of-1x^{-1-1}sin(1/x)-x^{-1-2}cos(1/x) is -sin(1)-cos(1)

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limit as x approaches 1 of-1x^{-1-1}sin(1/x)-x^{-1-2}cos(1/x)

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

- sin (1) - cos (1)

Decimal

- 1.38177 \dots

Solution steps

x \to 1 lim (- 1 \cdot x^{- 1 - 1} sin (\frac{1}{x}) - x^{- 1 - 2} cos (\frac{1}{x}))

Plug in the value

x = 1

= - 1 \cdot 1^{- 1 - 1} sin (\frac{1}{1}) - 1^{- 1 - 2} cos (\frac{1}{1})

Simplify

= - sin (1) - cos (1)

l a pl a ce t r an s f or m 2 t + 3

a re a y = x, y = x^{2}

\int \frac{( x ^{2} )}{2 x - x ^{2}} d x

d er i v a t i v e f (x) = 4 x + \frac{6}{x x}

\int \frac{2 z}{z ^{2} + 1} d z

What is the limit as x approaches 1 of-1x^{-1-1}sin(1/x)-x^{-1-2}cos(1/x) ?
The limit as x approaches 1 of-1x^{-1-1}sin(1/x)-x^{-1-2}cos(1/x) is -sin(1)-cos(1)