# How do I show, using limits, that f(x)=x^2-x+3 is continuous at x=2?

• How do I show, using limits, that f(x)=x^2-x+3 is continuous at x=2?

Make a table of values for f(x) using values of x that approach a closely from either side. If the limit exists, then the values of f(x) will approach the ...
Positive: 67 %
... =x^2\$ is continuous at \$x=1\$? ... How to show that \$f(x)=x^2\$ is continuous at \$x=1\$? ... To prove the limit exists using the fundamental definition.
Positive: 64 %

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Find Limits of Functions in Calculus. ... x - 2| = -(x - 2) ... the terms 1/x and 1/x 2 and 3/x 2 approaches 0 hence the limit is = 0 / 2 = 0;
Positive: 67 %
I was wondered how to find the function in this equality: \$f ... 2(1+a_1)x^2+a_1(2a_2^2+a_3+a_1^2a_3)x^3 ... show specific properties, I can certainly do ...
Positive: 62 %
Limit Definition of the Derivative Once we know the most basic differentiation formulas and rules, we compute new derivatives using what we already know.