What is the limit as x approaches 0-of 2^{1/2} ?

The limit as x approaches 0-of 2^{1/2} is 2^{1/2}

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limit as x approaches 0-of 2^{1/2}

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

2^{\frac{1}{2}}

Decimal Notation

1.41421 \dots

Solution steps

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

x \to a lim c = c

= 2^{\frac{1}{2}}

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

x \to 0 + lim (2 x (ln (x)))

x \to + 3 lim (\frac{5}{x - 3})

x \to 0 + lim (2 x (ln (x))^{2})

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

What is the limit as x approaches 0-of 2^{1/2} ?
The limit as x approaches 0-of 2^{1/2} is 2^{1/2}