What is the limit as x approaches 0+of (x+97)/x ?

The limit as x approaches 0+of (x+97)/x is infinity

limit as x approaches 0+of (x+97)/x

x \to 0 + lim (\frac{x + 97}{x})

\infty

Solution steps

x \to 0 + lim (\frac{x + 97}{x})

Divide by highest denominator power:

1 + \frac{97}{x}

= x \to 0 + lim (1 + \frac{97}{x})

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to 0 + lim (1) + x \to 0 + lim (\frac{97}{x})

x \to 0 + lim (1) = 1

x \to 0 + lim (\frac{97}{x}) = \infty

= 1 + \infty

Apply Infinity Property:

c + \infty = \infty

= \infty

\frac{d}{d w} (lw)

\int x^{5} + \frac{1}{x ^{7}} d x

l a pl a ce t r an s f or m sin (100 t + 30)

x \to - \infty lim (\frac{8 x ^{2} + 7 x ^{\frac{1}{3}}}{16 x ^{4} + 6})

\frac{d}{d x} ((x e^{2 x} + x^{3})^{6})

What is the limit as x approaches 0+of (x+97)/x ?
The limit as x approaches 0+of (x+97)/x is infinity