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Use the properties of limits and algebraic methods to find limits if it exist neu... Use properties of limits and algebraic methods to find the

Use the properties of limits and algebraic methods to find limits if it exist

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neu... Use properties of limits and algebraic methods to find the limit, if it exists. lim 2 (x + h)- - 2x h-0 Step 1 Notice that when h = 0, the denominator of lim 2(x + h) 2x- is zero. 1-0 Recall that if the numerator is also zero when h = 0, the limit has the indeterminate form and h is a common factor of the numerator and denominator. To determine if the numerator is zero when h = 0, replace h with 0 in the numerator of the limit and simplify 2 ( x + 1) 2 - 2x2 = 2(x+ 0) 2 - 2x2 Thus, lim 2(x + h)? - 2x2 -Select-- h the indeterminate form ) at / = 0 and h -select- v a common factor of the numerator and denominator. Submit Skip (you cannot come back) Type here to search O Eli a 9 X T w O

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