![calculus - Don't understand why this binomial expansion is not valid for x > 1 - Mathematics Stack Exchange calculus - Don't understand why this binomial expansion is not valid for x > 1 - Mathematics Stack Exchange](https://i.stack.imgur.com/y9N06.png)
calculus - Don't understand why this binomial expansion is not valid for x > 1 - Mathematics Stack Exchange
![Let f(x)={x+1,x >0 2-x ,xlt=0 and g(x)={x+3,x<1,x^2-2x-2,1lt=x<2x-5,xgeq2 Find the LHL and RHL of g(f(x)) at x=0 and, hence, fin lim(x->0)g(f(x)). Let f(x)={x+1,x >0 2-x ,xlt=0 and g(x)={x+3,x<1,x^2-2x-2,1lt=x<2x-5,xgeq2 Find the LHL and RHL of g(f(x)) at x=0 and, hence, fin lim(x->0)g(f(x)).](https://doubtnut-static.s.llnwi.net/static/web-thumb/50541_web.png)
Let f(x)={x+1,x >0 2-x ,xlt=0 and g(x)={x+3,x<1,x^2-2x-2,1lt=x<2x-5,xgeq2 Find the LHL and RHL of g(f(x)) at x=0 and, hence, fin lim(x->0)g(f(x)).
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![x+1/x=5 then find the value of x^2+1/x^2 and x^3+1/x^3 | Mathematics Questions and Answers - YouTube x+1/x=5 then find the value of x^2+1/x^2 and x^3+1/x^3 | Mathematics Questions and Answers - YouTube](https://i.ytimg.com/vi/Q6r5-4h7on8/maxresdefault.jpg)