What is the limit as x approaches 0 of (x^4+1)/(x^2) ?

The limit as x approaches 0 of (x^4+1)/(x^2) is infinity

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limit as x approaches 0 of (x^4+1)/(x^2)

x \to 0 lim (\frac{x ^{4} + 1}{x ^{2}})

\infty

Solution steps

x \to 0 lim (\frac{x ^{4} + 1}{x ^{2}})

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 ^{4} + 1}{x ^{2}}) = \infty

x \to 0 + lim (\frac{x ^{4} + 1}{x ^{2}}) = \infty

= \infty

x \to 0 lim (∣ sin (x) ∣^{x})

\int \frac{6 x ^{2} - 2 x - 1}{4 x ^{3} - x} d x

\frac{\partial}{\partial x} (sin (x) \cdot sin (x + y))

\int sin^{5} (8 x) d x

f (x) = 4 x^{2}

What is the limit as x approaches 0 of (x^4+1)/(x^2) ?
The limit as x approaches 0 of (x^4+1)/(x^2) is infinity