What is the limit as x approaches 0 of sin(1/x)+1 ?

The limit as x approaches 0 of sin(1/x)+1 is diverges

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limit as x approaches 0 of sin(1/x)+1

x \to 0 lim (sin (\frac{1}{x}) + 1)

diverges

Solution steps

x \to 0 lim (sin (\frac{1}{x}) + 1)

Apply Limit Divergence Criterion:

diverges

= diverges

x \to - \infty lim (x^{2} - 3 x)

x \to 0 lim (\frac{sin ^{2} ( 3 x )}{4 x ^{2}})

x \to 0 lim (+ (x^{2} ln (x)))

x \to \frac{π}{2} - lim (ln (cos (x)))

x \to 0 lim (+ x^{x})

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