How to Evaluate lim_{x->0^{+}}(1+sinx)^{\frac{1}{\sqrt{x}}}?

[nhrock3]

lim_{x->0^{+}}(1+sinx)^{\frac{1}{\sqrt{x}}}



i get here 1^{\infty} form which states that's its some sort of exponent

 

[Ray Vickson]

lim_{x->0^{+}}(1+sinx)^{\frac{1}{\sqrt{x}}}



i get here 1^{\infty} form which states that's its some sort of exponent

Use "[ tex]" with no space in front of the 't' and "[ /tex]" with no space in front of the '/'. Capital letters do not work.

RGV

 

[ehild]

lim_{x->0^{+}}(1+sinx)^{\frac{1}{\sqrt{x}}}

Use the identity 1+sin(x)=e^{ln(1+sin(x))}.

ehild