What is the limit as x approaches 0 of x^2-sin(1/x) ?

The limit as x approaches 0 of x^2-sin(1/x) is diverges

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limit as x approaches 0 of x^2-sin(1/x)

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

diverges

Solution steps

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

Apply Limit Divergence Criterion:

diverges

= diverges

y = x^{3} (2 x + 3)^{7}

3 x, \frac{3}{x}, x = 3

\frac{d y}{d x} = - \frac{y}{x}

x \to 0 lim (cos (π))

x + y = 10, (2, 8)

What is the limit as x approaches 0 of x^2-sin(1/x) ?
The limit as x approaches 0 of x^2-sin(1/x) is diverges