Differentiation Math Limits [closed]

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limit x-->3 2x^2 + 7x-15/x-3

What i Simplified

Step 1 : 2x^2 + 10x -3x -15 / x-3

Step 2 : 2x( x + 5)-3( x + 5)/x-3

Step 3 : (2x - 3)(x + 5)/x-3

but unable to move further.. im thinking either the question ix wrong or there ix some trick which im unable to understand thanx in advance

Answer 1

as x -> 3, the numerator goes to 3 * 8 = 24 and the denominator goes to 0, so the limit goes to +infinity if you approach 3 from the right, and -infinity if you approach 3 from the left

since you didn't specify which direction, the limit does not exist.

try graphing it: https://www.desmos.com/calculator