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