limit

Question

Answer 1

answer will be e^-5 which is option (C)

limx->infinity{(1-3/x)^x /(1+2/x)^x}

=e^-3/e^2

=e^-5 (we know that lim x->infinity(1+a/x)^x = e^a)

u can see formula:

check http://www.pioneermathematics.com/some-important-limits-formula.html

Answer 2

This problem is reducible to 1^infinity  form after it can be solved very easily as shown below  :

Comments

@habib. The image isnt clear. Can you give reference for the formula used?