What is the limit as x approaches 0 of x^4*cos(pi/x) ?

The limit as x approaches 0 of x^4*cos(pi/x) is 0

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limit as x approaches 0 of x^4*cos(pi/x)

x \to 0 lim (x^{4} \cdot cos (\frac{π}{x}))

0

Solution steps

x \to 0 lim (x^{4} cos (\frac{π}{x}))

Apply the Squeeze Theorem:

0

= 0

y = (1 + 5 x)^{10}, (0, 1)

\frac{\partial}{\partial x} (\frac{x ^{3}}{x ^{2} + y ^{2}})

\int (x + 2)^{11} d x

y^{^{''}} + 2 y^{^{'}} + 5 y = 9 sin (2 t)

\int ln ∣ x + 1 ∣ d x

What is the limit as x approaches 0 of x^4*cos(pi/x) ?
The limit as x approaches 0 of x^4*cos(pi/x) is 0