text Let - fx- Ueft begin matrix x- - x0lend matrix bight- which of the following is not true-

The correct option is D f(x) is continuous at x=0 x→ 0Lt f(x)≠ f(0) ⇒ f(x) is not continuous at x=0 ...

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Definition of a Determinant

text Let ∼ fx...

Question

$Let f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} x, & x < 0 1, & x = 0 x^{2}, & x > 0 \end{matrix}$ which of the following is not true?

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f(x) is continuous at x=0

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Let $f (x) = {\begin{matrix} x + 5, if x > 0 x - 4, if x < 0 \end{matrix}$ Prove that ${lim}_{x \to 0}$ f(x) does not exist.

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f (x) = ⎧ ⎨ ⎩ \begin{matrix} \frac{x}{e^{\frac{1}{x}} + 1}, & w h e n & x \neq 0 0, & w h e n & x = 0 \end{matrix}

f (x) = {\begin{matrix} (x - 1) s i n \frac{1}{x - 1}, & i f x \neq 1 0, & i f x = 1 \end{matrix}

f (x) = {\begin{matrix} min {x, x^{2}}, & x \geq 0 max {2 x, x^{2} - 1}, & x < 0 \end{matrix}

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