Question

Evaluate the limit: lim x->(pi/6)^+ (2x^2+5x-3)/(2-csc(x))

Answer 1

I had gotten \[\lim_{x \rightarrow \frac{ \pi }{ 6 }^{+}}\frac{ 2x ^{2}+5x-3 }{ 2-\csc x } \rightarrow \infty\]

Answer 2

yes, correct.
because the denominator is positive,

Answer 3

okay thank you :)

Answer 4

and for x->pi/6^- , it would be -infinity
welcome ^_^