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Expand the expression $\left(x+1\right)^2$ using the square of a binomial: $(a+b)^2=a^2+2ab+b^2$
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$\lim_{x\to1}\left(\frac{x^{2}+2x+1-4}{x-1}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of ((x+1)^2-4)/(x-1) as x approaches 1. Expand the expression \left(x+1\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Subtract the values 1 and -4. Sort the polynomial -3+x^{2}+2x in descending order to handle it more easily. Factor the trinomial x^{2}+2x-3 finding two numbers that multiply to form -3 and added form 2.