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

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

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

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

1 - x (1)^{2}

Solution steps

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

Plug in the value

t = 1

, assuming the function is continuous at this point

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

Simplify

= 1 - x (1)^{2}

x \to 0 lim (∣ x ∣ sin (\frac{1}{x}))

x \to - 1 lim (1 - x)

x \to 3 lim (x + 3)

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

x \to \infty lim (x^{2} + 7 x + 2 - x)

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