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

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

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

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

diverges

Solution steps

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

Apply Limit Divergence Criterion:

diverges

= diverges

\int 9 e^{9 x} d x

\frac{\partial}{\partial x} (8 x y e^{- x^{2} - y^{2}})

\int \frac{3 x + 1}{x ^{2} - 4 x + 7} d x

\int_{7}^{10} \frac{y}{y ^{2} - 3 y - 4} d y

x \to + 2 lim (4 tan (3 x - 3))

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