What is the limit as x approaches 0 of (x^{-2}-6^{-2})/(x+6) ?

The limit as x approaches 0 of (x^{-2}-6^{-2})/(x+6) is infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 0 of (x^{-2}-6^{-2})/(x+6)

x \to 0 lim (\frac{x ^{- 2} - 6 ^{- 2}}{x + 6})

\infty

Solution steps

x \to 0 lim (\frac{x ^{- 2} - 6 ^{- 2}}{x + 6})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{x ^{- 2} - 6 ^{- 2}}{x + 6}) = \infty

x \to 0 + lim (\frac{x ^{- 2} - 6 ^{- 2}}{x + 6}) = \infty

= \infty

f (x) = 2 x + 3, [- 1, 2]

\int (sin (2 u) - cos (3 u))^{2} d u

\frac{- 2 x}{( x ^{2} - 1 ) ^{2}}

(cos (3 x)) y^{^{'}} - 3 (tan (3 x)) y = 2 (sec (3 x))

f (t) = 4 t

What is the limit as x approaches 0 of (x^{-2}-6^{-2})/(x+6) ?
The limit as x approaches 0 of (x^{-2}-6^{-2})/(x+6) is infinity