Limits question

maths toppers answer

Not sure why my previous answer was deleted...

If you substitute , then gives , so the limit is equal in value to

Since , we can write

Because is continuous at all , we can pass the limit to the argument of the exponential function. That is,

so that the limit we're interested in is equal to

For all natural numbers , we have

so

and this makes the overall limit take on a value of

1. D)∠BTA≅∠ATC

2. C)∠W ≅ ∠D

3. B)congruent

4. B)∠T ≅ ∠A

5. B)triangles

6. C)CB≅ AB (if two triangles are congruent, their shared corresponding parts are congruent)

7. B) ∠BAT ≅ ∠CAT

8. A)TA≅AT

9. D)TA≅AT (they're the same line)