What is the limit as x approaches 1 of 1/((x-1)^4+2) ?

The limit as x approaches 1 of 1/((x-1)^4+2) is 1/2

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limit as x approaches 1 of 1/((x-1)^4+2)

x \to 1 lim (\frac{1}{( x - 1 ) ^{4} + 2})

\frac{1}{2}

Decimal Notation

0.5

Solution steps

x \to 1 lim (\frac{1}{( x - 1 ) ^{4} + 2})

Plug in the value

x = 1

= \frac{1}{( 1 - 1 ) ^{4} + 2}

Simplify

= \frac{1}{2}

x \to 0 lim (\frac{( 5 ^{x} - 4 ^{x} )}{x})

x \to 0 lim (cos (\frac{2 π}{x}))

x \to 0 lim (\frac{3 x}{∣ x ∣})

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

x \to 0 lim (\frac{2 x + 3}{2 x - 1})

What is the limit as x approaches 1 of 1/((x-1)^4+2) ?
The limit as x approaches 1 of 1/((x-1)^4+2) is 1/2