Question

Compute the following limits using L'Hospital's Rule if appropriate.

The limit of ((7^x)-7) / ((x^2)-1) as x approaches 1

and

The limit of ((tan^-1)(x)) / ((1/x)-7) as x approaches infinity

Step 1

The limit expressions are

Step 2

Compute the limits as follows.

The limit of ((7^*x*) – 7) / ((*x*^2) – 1) as *x* approaches 1

Step 3

The limit of ((tan^ – 1)(*x*)) / ((1/*x*) – ...

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