What is the limit as t approaches 0 for (sint)/(1+cost)?
zero
ok, that's what i got! thanks so much
To find the limit as t approaches 0 for (sint)/(1+cost), we can use the limit properties and various trigonometric identities. Here's how you can solve it step by step:
Step 1: Start with the expression (sint)/(1+cost).
Step 2: Substitute 0 for t, which gives (sin0)/(1+cos0).
Step 3: Simplify the expression using trigonometric identities. Recall that sin(0) is equal to 0 and cos(0) is equal to 1. Thus, the expression becomes 0/(1+1).
Step 4: Simplify further to get 0/2, which is equal to 0.
Step 5: Therefore, the limit as t approaches 0 for (sint)/(1+cost) is 0.
Note: It's important to know trigonometric identities to simplify the expression properly.