CBSE Class 11-science Answered
immediately please tell me this question's answer
![question image](http://images.topperlearning.com/topper/new-ate/top_mob1642466800434017134d7aeabfd-395a-4678-8294-ecc2b4c0599c.jpg)
Asked by akankhyapradhan123 | 18 Jan, 2022, 06:16: AM
To find the limit
![limit as straight x rightwards arrow square root of 3 of space open parentheses fraction numerator straight x to the power of 4 minus 4 over denominator straight x squared plus 3 square root of 2 straight x minus 8 end fraction close parentheses
equals limit as straight x rightwards arrow square root of 3 of space open parentheses fraction numerator open parentheses straight x squared minus 2 close parentheses open parentheses straight x squared plus 2 close parentheses over denominator straight x squared plus 4 square root of 2 straight x minus square root of 2 straight x minus 8 end fraction close parentheses
equals limit as straight x rightwards arrow square root of 3 of space open parentheses fraction numerator open parentheses straight x minus square root of 2 close parentheses open parentheses straight x plus square root of 2 close parentheses open parentheses straight x squared plus 2 close parentheses over denominator open parentheses straight x plus 4 square root of 2 close parentheses straight x minus square root of 2 open parentheses straight x plus 4 square root of 2 close parentheses end fraction close parentheses
equals limit as straight x rightwards arrow square root of 3 of space open parentheses fraction numerator open parentheses straight x minus square root of 2 close parentheses open parentheses straight x plus square root of 2 close parentheses open parentheses straight x squared plus 2 close parentheses over denominator open parentheses straight x plus 4 square root of 2 close parentheses open parentheses straight x minus square root of 2 close parentheses end fraction close parentheses
equals limit as straight x rightwards arrow square root of 3 of space open parentheses fraction numerator open parentheses straight x plus square root of 2 close parentheses open parentheses straight x squared plus 2 close parentheses over denominator open parentheses straight x plus 4 square root of 2 close parentheses end fraction close parentheses
equals fraction numerator 5 open parentheses square root of 3 plus square root of 2 close parentheses over denominator square root of 3 plus 4 square root of 2 end fraction](https://images.topperlearning.com/topper/tinymce/cache/17ca66221196a1659e73f4b437c6037d.png)
Answered by Renu Varma | 18 Jan, 2022, 13:09: PM
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