What is the limit as x approaches-0.75 of x^2+3 ?

The limit as x approaches-0.75 of x^2+3 is 3.5625

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limit as x approaches-0.75 of x^2+3

x \to - 0.75 lim (x^{2} + 3)

3.5625

Solution steps

x \to - 0.75 lim (x^{2} + 3)

Plug in the value

x = - 0.75

= (- 0.75)^{2} + 3

Simplify

(- 0.75)^{2} + 3 : 3.5625

= 3.5625

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

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

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

x \to 3 lim (\frac{x}{x ^{2} - 4 x + 3})

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

What is the limit as x approaches-0.75 of x^2+3 ?
The limit as x approaches-0.75 of x^2+3 is 3.5625