What is the limit of the function algebraically, \lim_{x\rightarrow-5}=\frac{x^{2}-25}{x+5}

Ingrid Senior

Ingrid Senior

Answered question

2022-03-03

What is the limit of the function algebraically, limx5=x225x+5

Answer & Explanation

Daisie Benitez

Daisie Benitez

Beginner2022-03-04Added 5 answers

Step 1
Assuming: limx5[x225x+5]
Plugging x=5 into the numerator and denominator (which are both continuous functions) gives 00
Try to algebraically simplify.
[x225x+5]=[(x5)(x+5)x+5]=x5
when x not equal to -5
limx5[x225x+5]=limx5(x5)=55=10

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