What is the limit as (x,y,z) approaches (pi,0, 1/3) of e^{y^2}tan(xz) ?

The limit as (x,y,z) approaches (pi,0, 1/3) of e^{y^2}tan(xz) is square root of 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as (x,y,z) approaches (pi,0, 1/3) of e^{y^2}tan(xz)

(x, y, z) \to (π, 0, \frac{1}{3}) lim (e^{y^{2}} tan (x z))

3

Decimal

1.73205 \dots

Solution steps

(x, y, z) \to (π, 0, \frac{1}{3}) lim (e^{y^{2}} tan (x z))

Plug in the value

(x, y, z) = (π, 0, \frac{1}{3})

= e^{0^{2}} tan (π \frac{1}{3})

Simplify

e^{0^{2}} tan (π \frac{1}{3}) : 3

= 3

What is the limit as (x,y,z) approaches (pi,0, 1/3) of e^{y^2}tan(xz) ?
The limit as (x,y,z) approaches (pi,0, 1/3) of e^{y^2}tan(xz) is square root of 3