What is the limit as (x,y) approaches (0,1) of (e^{xy})/(x+1) ?

The limit as (x,y) approaches (0,1) of (e^{xy})/(x+1) is 1

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limit as (x,y) approaches (0,1) of (e^{xy})/(x+1)

(x, y) \to (0, 1) lim (\frac{e ^{x y}}{x + 1})

1

Solution steps

(x, y) \to (0, 1) lim (\frac{e ^{x y}}{x + 1})

Plug in the value

(x, y) = (0, 1)

= \frac{e ^{0 \cdot 1}}{0 + 1}

Simplify

= 1

\int cos (y^{3}) d y

f (x) = (x^{3}), at x = 2

x \to 2 lim (\frac{2 - x}{∣ x - 2 ∣})

\frac{d y}{d t} - 2 t y = - 6 t^{2} e^{t^{2}}

\int (cos^{3} (x)) d x

What is the limit as (x,y) approaches (0,1) of (e^{xy})/(x+1) ?
The limit as (x,y) approaches (0,1) of (e^{xy})/(x+1) is 1