Wednesday, 6 March 2019

calculus - How do I solve this indeterminate limit without the L'hospital rule?



I've been trying to solve this limit without L'Hospital's rule because I don't know how to use derivates yet. So I tried rationalizing the denominator and numerator but it didn't work.



limx42x+13x22



By the way, the answer is supposed to be 223.


Answer



limx42x+13x22=limx42(x4)(x2+2)(x4)(2x+1+3)=limx42(x2+2)(2x+1+3)=223


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