Learn how to solve limits by direct substitution problems step by step online. Find the limit of (x-*2^(1/2))/(x-3) as x approaches 3. Evaluate the limit \lim_{x\to3}\left(\frac{x-\sqrt{2}}{x-3}\right) by replacing all occurrences of x by 3. Subtract the values 3 and -3. An expression divided by zero tends to infinity. As by directly replacing the value to which the limit tends, we obtain an indeterminate form, we must try replacing a value close but not equal to 3. In this case, since we are approaching 3 from the left, let's try replacing a slightly smaller value, such as 2.99999 in the function within the limit:.

Find the limit of (x-*2^(1/2))/(x-3) as x approaches 3