The limit leads to an indeterminate form. Transform the function algebraically and evaluate the limit using continuity. (Use symbolic notation and fractions where needed. Enter "DNE" if the limit does not exist.) lim _(xarrow 10)(x^2-10))/(x-10)=square (

Question

The limit leads to an indeterminate form. Transform the function algebraically and evaluate the limit using continuity. (Use symbolic notation and fractions where needed. Enter "DNE" if the limit does not exist.) lim _(xarrow 10)(x^2-10))/(x-10)=square (

Answer 1

The given limit is in the form of 0/0, which is an indeterminate form. To evaluate this limit, we can use the technique of algebraic manipulation. The numerator of the function is x^2 - 10. We can factor this as (x - 10)(x + 10). The denominator is x - 10. So, the function simplifies to x + 10. Now, we can substitute x = 10 into the simplified function to get the limit. Therefore, the limit of the function as x approaches 10 is 20.

Problemas

The limit leads to an indeterminate form. Transform the function algebraically and evaluate the limit using continuity. (Use symbolic notation and fractions where needed. Enter "DNE" if the limit does not exist.) lim _(xarrow 10)(x^2-10))/(x-10)=square (

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