What is the limit as x approaches-1 of t^2-x^2 ?

The limit as x approaches-1 of t^2-x^2 is t^2-1

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limit as x approaches-1 of t^2-x^2

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

t^{2} - 1

Solution steps

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

Plug in the value

x = - 1

, assuming the function is continuous at this point

= t^{2} - (- 1)^{2}

(- 1)^{2} = 1

= t^{2} - 1

What is the limit as x approaches-1 of t^2-x^2 ?
The limit as x approaches-1 of t^2-x^2 is t^2-1