What is the limit as (x,y) approaches (0,0) of y/x ?

The limit as (x,y) approaches (0,0) of y/x is diverges

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limit as (x,y) approaches (0,0) of y/x

(x, y) \to (0, 0) lim (\frac{y}{x})

diverges

Solution steps

(x, y) \to (0, 0) lim (\frac{y}{x})

Find two different paths to approach the point that gives different values for the limit

Limit of

(x, y) \to (0, 0) lim (\frac{y}{x})

along

x = y : 1

Limit of

(x, y) \to (0, 0) lim (\frac{y}{x})

along

x = - y : - 1

= diverges

f (x) = (x^{2} - 48)^{4}

\frac{d}{d x} (6 x^{\frac{1}{3}})

\int 11 tan^{3} (θ) d θ

\int \frac{( x ^{3} )}{x ^{2} + 1} d x

y = 8 sin (π x - y), (1, 0)

What is the limit as (x,y) approaches (0,0) of y/x ?
The limit as (x,y) approaches (0,0) of y/x is diverges