Calculus Examples

$lim_{t \to 1} {(\frac{t^{2} - 1}{t^{2} - 3 t - 4})}^{1}$

Step 1

Evaluate the limit of ${(\frac{t^{2} - 1}{t^{2} - 3 t - 4})}^{1}$ by plugging in $1$ for $t$ .

${(\frac{1^{2} - 1}{1^{2} - 3 \cdot 1 - 4})}^{1}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

One to any power is one.

${(\frac{1 - 1}{1^{2} - 3 \cdot 1 - 4})}^{1}$

Step 2.2

Subtract $1$ from $1$ .

${(\frac{0}{1^{2} - 3 \cdot 1 - 4})}^{1}$

Step 3

Simplify the denominator.

Tap for more steps...

Step 3.1

One to any power is one.

${(\frac{0}{1 - 3 \cdot 1 - 4})}^{1}$

Step 3.2

Multiply $- 3$ by $1$ .

${(\frac{0}{1 - 3 - 4})}^{1}$

Step 3.3

Subtract $3$ from $1$ .

${(\frac{0}{- 2 - 4})}^{1}$

Step 3.4

Subtract $4$ from $- 2$ .

${(\frac{0}{- 6})}^{1}$

Step 4

Divide $0$ by $- 6$ .

$0^{1}$

Step 5

Evaluate the exponent.

$0$